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Mathletics Instant

Workbooks

Mathletics Instant

Workbooks

Student Book - Series J-2

Factorisation

ay + ab

FactorisationStudent Book - Series J 2

Contents

Topics

Topic 1 - A common factor __/__/__ Date completed

Topic 2 - The grouping method __/__/__ Topic 3 - Difference of two squares __/__/__ Topic 4 - Monic quadratic trinomials __/__/__ Topic 5 - Non-monic quadratic trinomials __/__/__ Topic 6 - Miscellaneous questions __/__/__

Topic 8 - Addition and subtraction of algebraic fractions __/__/__

Topic 7 - Multiplication and division of algebraic fractions __/__/__

FactorisationMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning

Author of The Topics and Topic Tests: AS Kalra

Practice Tests

Topic 1 - Topic test A __/__/__ Topic 2 - Topic test B __/__/__

1

Factorisation


Topic 1 - A common factor

57Chapter 7: Factorisation

FactorisationCHAPTER 7

UNIT 1: A common factor

EXCEL YEARS 9 & 10 ADVANCED MATHS

Page 6

QUESTION 1 Factorise the following by taking the common factor out.

a 5 10x + = ______________ b 3 6x + = _______________ c 8 16y + = _____________

d m m2 + = ______________ e 2 42x x+ = ____________ f 3 6xy x+ = ____________

g 6 32a a− = _____________ h 3 15m + = _____________ i 9x xy+ = ______________

j 4 16x + = ______________ k 5 102b ab+ = ___________ l 3 21m + = _____________

m 6 3m mn− = ____________ n 5 15x + = ______________ o ay y− = ______________

p 7 14mn mp− = __________ q x y xyz2 2 − = ___________ r 8 162 2 2m n m n− = _______

QUESTION 2 Factorise the following by taking the negative common factor out.

a − −3 6x = ______________ b − −4 8a = ______________ c − −5 15y = ____________

d − +m m2 = _____________ e − +x x2 5 = _____________ f − +l lm2 2 = ___________

g − +x x4 2 = ____________ h − +4 2m m = ____________ i − −3 2 2x x = ___________

j − −6 18 2a a = ___________ k − +7 21y = _____________ l − +8 16x xy = __________

m − −3 9a = ______________ n − +5 15 2 2xy x y = ________ o − +a y ay2 2 = __________

QUESTION 3 Factorise the following.

a ab ac ad+ + = __________________________ b px py pz+ + = _________________________

c 2 3 52 2 2a b a b abc+ − = ___________________ d 5 10 153 2m m m+ + = ____________________

e 2 4 6a b c+ + = __________________________ f 12 15 182x xy xz+ + = ____________________

g x y xy x y2 2 2 2+ + = ______________________ h 9 122 2 2a b a b− = _______________________

i 5 5 102 2 2a b c− − = _______________________ j 6 12 182 2 2mp m p m p+ − = ________________

k 3 6 9ab ac ad− − = _______________________ l 12 362 2 3 3x y x y− = _____________________

QUESTION 4 Factorise each of the following.

a x x x+( ) + +( )1 2 1 = ______________________ b y y y+( ) + +( )2 3 2 = _____________________

c a m n b m n+( ) + +( ) = ____________________ d c d d2 1 2 2 1+( ) + +( ) = ___________________

e p a a+( ) − +( )4 3 4 = _____________________ f t t t−( ) − −( )2 3 2 = ______________________

g x y y−( ) − −( )5 3 5 = _____________________ h p p p+( ) − +( )4 7 4 = ____________________

i x a a−( ) − −( )6 4 6 = _____________________ j 2 3 7 5 3 7x x x−( ) + −( ) = __________________

k a b c d b c−( ) + −( ) = _____________________ l c a b d a b2 3 2 3−( ) + −( ) = _________________

2

Factorisation


58 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION

FactorisationUNIT 2: The grouping method


Page 6


a x y z y z+( ) + +( )2 = ______________________ b a b b+( ) + +( )3 7 3 = _____________________

c 2 5 3 5x m m+( ) + +( ) = ____________________ d 7 8 82 2 2y x y+( ) + +( ) = __________________

e p p p−( ) − −( )3 2 3 = _____________________ f t a a+( ) − +( )7 5 7 = _____________________

g x y y−( ) − −( )2 2 = ______________________ h a m n b m n−( ) − −( ) = ____________________

i 6 x y z x y+( ) + +( ) = _____________________ j x m n y m n−( ) − −( ) = ____________________

k 3 2 1 5 2 1x a a−( ) − −( ) = ___________________ l 3 2a p q p q−( ) − −( ) = ___________________

QUESTION 2 Find the factors of:

a ax ay bx by+ + + = ______________________ b 2 2a b ay by+ + + = ______________________

_______________________________________ ______________________________________

c ax a bx b+ + +7 7 = ______________________ d x x y z z y2 2 2 2− + − = ____________________

_______________________________________ ______________________________________

e x x x3 2 1+ + + = ________________________ f ab a b+ + +1 = _________________________

_______________________________________ ______________________________________


a ab ac db dc+ + + = ______________________ b a ab a b2 7 7− + − = ____________________________________________________________ ______________________________________

c a a a3 2 5 5− + − = _______________________ d am an bm bn+ − − = ____________________

_______________________________________ ______________________________________

e p q pq apq a2 2 − + − = ___________________ f 3 9 8 242x yx x y− + − = __________________

_______________________________________ ______________________________________

QUESTION 4 Factorise.

a x x x3 2 3 3− + − = _______________________ b y y y3 2 1+ + + = ________________________

_______________________________________ ______________________________________

c 9 9 4 42a b a ab− + − = ____________________ d pq p q q p2 2 7 7− + − = ___________________

_______________________________________ ______________________________________

e am m a− − +2 5 10 = _____________________ f 3 3 2 2xy xz y z+ + + = ____________________

_______________________________________ ______________________________________

Topic 2 - The grouping method

3

Factorisation



FactorisationUNIT 3: Difference of two squares


Page 7


a x2 4− = _______________ b x2 9− = _______________ c x2 16− = ______________

d x2 1− = _______________ e x2 25− = ______________ f x2 36− = _____________

g a b2 2− = ______________ h x y2 2− = ______________ i m n2 2− = _____________

j a2 49− = ______________ k y2 64− = ______________ l t2 81− = ______________

m p q2 24− = _____________ n x y2 29− = _____________ o m n2 225− = ___________

p 25 2 2a b− = ____________ q 49 2 2x y− = ____________ r 64 2 2p q− = ___________

s 4 92 2x y− = ____________ t 9 162 2m n− = __________ u 16 252 2x y− = _________


a x2 121− = _____________ b 25 162y − = ____________ c 1 4 2− y = _____________

d 100 492 2x y− = _________ e y z2 24− = _____________ f 1 25 2− m = ____________

g 49 1002 2m n− = _________ h 16 492a − = ____________ i 9 252 2x y− = __________

j 9 162 2x y− = ___________ k a b c2 2 2− = ____________ l a b c2 2 2− = ____________

m 36 492 2x y− = __________ n p q2 264− = ___________ o 25 64 2− a = ___________

QUESTION 3 Find the factors of the following.

a x2 9− = _______________ b a x2 2− = _____________ c 16 92 2x y− = __________

d 4 252x − = _____________ e 81 1212 2a b− = _________ f 4 12x − = _____________

g 81 2− z = ______________ h 16 492a − = ____________ i 9 1002y − = ___________

j 4 492a − = _____________ k 36 2 2y x− = ____________ l 16 812 2x y− = _________

m 1 100 2− x = ____________ n m2 169− = ____________ o 25 1212 2x y− = ________


a p q m2 2 2− = ___________ b x −( ) −3 162 = __________ c a b c d2 2 2 2− = __________

d x +( ) −2 92 = __________ e a b c2 2 2− = ____________ f 144 25 2− a = __________

g 25 36 2− y = ____________ h y +( ) −1 252 = __________ i x x+( ) − +( )5 32 2 = _____

j x y z2 2 29− = ___________ k 25 2 2− p q = ____________ l 49 2 2− a b = ___________

m y2 64− = ______________ n 4 2 2 2x y z− = ___________ o 64 2 2 2− a b c = _________

p a p2 2− = ______________ q 25 92 2p q− = ___________ r 81 2 2− x y = ____________

Topic 3 - Difference of two squares

4

Factorisation



FactorisationUNIT 4: Monic quadratic trinomials


Pages 7–8


a x x2 7 12+ + = __________________________ b x x2 5 6− + = __________________________

_______________________________________ ______________________________________

c x x2 3 2+ + = ___________________________ d x x2 4 4+ + = __________________________

_______________________________________ ______________________________________

e y y2 7 12− + = __________________________ f m m2 8 12+ + = _________________________

_______________________________________ ______________________________________

g a a2 6 9+ + = ___________________________ h x x2 11 28+ + = ________________________

_______________________________________ ______________________________________

i n n2 2 3+ − = ___________________________ j x x2 9 14+ + = _________________________

_______________________________________ ______________________________________


a x x2 8 15− + = __________________________ b y y2 4 12− − = _________________________

_______________________________________ ______________________________________

c x x2 5 6+ − = ___________________________ d x x2 19 90+ + = ________________________

_______________________________________ ______________________________________

e x x2 4 12+ − = __________________________ f m m2 56− − = _________________________

_______________________________________ ______________________________________

g x x2 3 4− − = ___________________________ h y y2 6 7− − = __________________________

_______________________________________ ______________________________________


a x x2 8− = ____________________________ b m m2 6 5+ + = _________________________

_______________________________________ ______________________________________

c t t2 6− − = ____________________________ d y y2 9 20− + = ________________________

_______________________________________ ______________________________________

e a a2 7 18− − = _________________________ f x x2 8 16+ + = _________________________

_______________________________________ ______________________________________

g x x2 12− = ____________________________ h y y2 11 24− + = ________________________

_______________________________________ ______________________________________

Topic 4 - Monic quadratic trinomials

5

Factorisation



FactorisationUNIT 5: Non-monic quadratic trinomials


Pages 8–9


a 2 13 152x x+ + = ________________________ b y y2 6 8− + = __________________________

_______________________________________ ______________________________________

c 5 4 12t t+ − = ___________________________ d 2 7 52x x+ + = _________________________

_______________________________________ ______________________________________

e 6 5 62y y+ − = __________________________ f 7 11 62x x+ − = ________________________

_______________________________________ ______________________________________

g 12 5 22x x+ − = _________________________ h 3 10 32a a+ + = _________________________

_______________________________________ ______________________________________

i 2 5 22a a+ + = __________________________ j 3 2 12y y− − = __________________________

_______________________________________ ______________________________________

QUESTION 2 Factorise the following quadratic trinomials.

a 6 11 42x x+ + =___________________________ b 2 7 32a a+ + = _________________________

_______________________________________ ______________________________________

c 2 5 22x x− + = __________________________ d 4 7 32x x+ + = _________________________

_______________________________________ ______________________________________

e 2 5 32y y− + = __________________________ f 2 3 22m m− − = ________________________

_______________________________________ ______________________________________

g 2 5 32y y+ − = __________________________ h 3 92x x− = ____________________________

_______________________________________ ______________________________________


a 4 27 352x x− + = ________________________ b 3 5 22t t+ − = __________________________

_______________________________________ ______________________________________

c 2 7 62x x− + = __________________________ d 3 7 62m m+ − = ________________________

_______________________________________ ______________________________________

e 8 13 62a a− − = _________________________ f 3 4 202y y− − = ________________________

_______________________________________ ______________________________________

g 2 5 422n n− − = _________________________ h 4 52x x+ − = __________________________

_______________________________________ ______________________________________

Topic 5 - Non-monic quadratic trinomials

6

Factorisation



FactorisationUNIT 6: Miscellaneous questions


Pages 6–9


a 7 7x − = ______________________________ b x2 9− = ______________________________

c m2 25− = _____________________________ d x xy2 2− = ____________________________

e − −5 5m n = ____________________________ f ay ab+ = _____________________________

g 4 82a a− = ____________________________ h 2 x y m x y+( ) + +( ) = ____________________

i x2 121− = _____________________________ j a a b3 23− = ___________________________

k n n2 9− = _____________________________ l 9 162 2x y− = __________________________

m 3 6x − = _______________________________ n − − −a a ay2 2 = ________________________


a 18 12 2y y− = ___________________________ b m m m3 2 1+ + + = ______________________

c ab ac b c+ + + = ________________________ d 4 42a ax− = ___________________________

e x x3 − = _______________________________ f am an m n+ − − = ______________________

g xy my x m+ − −7 7 = _____________________ h x y z−( ) −2 2 = _________________________

i a b c2 2 2− = ____________________________ j m n2 2 1− = ____________________________


a x x2 16 39− + = _________________________ b x x2 6 27− − = _________________________

c t t2 2 8− − = ___________________________ d 2 6 42x x+ + = _________________________

e a a2 5 6− + = ___________________________ f x x2 2− − = ___________________________

g x x2 2 24+ − = __________________________ h 2 10 122x x− + = _______________________

i m m2 10 25+ + = ________________________ j y y2 9 20− + = _________________________

QUESTION 4 Find the factors of:

a 4 8 122x x+ − = _________________________ b 5 17 62x x− + = ________________________

_______________________________________ ______________________________________

c 3 9 62x x+ + = __________________________ d x x2 10 21− + = ________________________

_______________________________________ ______________________________________

e 9 9 182x x− − = _________________________ f 3 9 302x x− − = _________________________

_______________________________________ ______________________________________

Topic 6 - Miscellaneous questions

7

Factorisation



FactorisationUNIT 7: Multiplication and division of algebraic fractions


Pages 10–11

QUESTION 1 Simplify the following expressions.

ax

x x

2

225

5

−+

=_____________________________

b3 9

3

x

x

−− =

______________________________

______________________________________ ______________________________________

c6 24

6

x + =

_____________________________d

a

a

2

29

3

−−( ) =

____________________________

______________________________________ ______________________________________

e9

1 15

2a

a

a a

−× −

=_________________________

fx

x

x

x2 34

2

−× −

=________________________

______________________________________ ______________________________________

ga b

bc

a

bc

2 2

3

3

2÷ =__________________________

h8 16

7

5 10

21

a a− ÷ − =

_____________________

______________________________________ ______________________________________

QUESTION 2 Factorise, then simplify

ax x

x

x

x x

2

2 25 6

1

1

5

+ +−

× −+

=__________________

ba ab

b b

b

a b

2

21−

−× −

− =

______________________

______________________________________ ______________________________________

cx x

x

x

x

2 2

27 10

39

25

− +−

× −−

=_________________

dx x

x

2 84+

=____________________________

______________________________________ ______________________________________

ey

y

2 95 15

−− =

______________________________f

a b

a b

− ×−16

82 2 =

______________________

______________________________________ ______________________________________

gx x

x x x x

2

2 22 24

6

5

2 8

+ −+

×−

=________________

ha a

a a

a

a

2

3 2

2

5 5

115

−−

÷ − =

____________________

______________________________________ ______________________________________

ix x

x x

2

22

5 525

4

+ −−

×−

=_____________________

jx x

x

x

x

2

2 25 4

1

3 3

16

+ +−

× −−

=__________________

______________________________________ ______________________________________

Topic 7 - Multiplication and division of algebraic fractions

8

Factorisation



FactorisationUNIT 8: Addition and subtraction of algebraic fractions


Pages 11–12

QUESTION 1 Simplify the following.

a2

3 5

x x+ =______________________________

bt t

7

3

14+ =

______________________________

_______________________________________ ______________________________________

c2 1

3

3

4

x x− + =__________________________

dx x− + −3

3

3 5

4 =

________________________

_______________________________________ ______________________________________

e8

9

3

3

x x− + =

___________________________f

5 7

2

2 6

3

x x− − − =

_______________________

_______________________________________ ______________________________________

g9 5

x x− =

_______________________________h

3

5

4

3a a+ =

_____________________________

_______________________________________ ______________________________________

QUESTION 2 Simplify.

a2

1

3

1x x−+

+ =__________________________

b1

2 1

1

7x x+−

+ =________________________

______________________________________ ______________________________________

c5

3 2

1

5m m++

+ =_______________________

d1

2 31

2x x x+( ) +( )+

+ =__________________

______________________________________ ______________________________________

e1

31

3 4x x x−−

−( ) +( ) =___________________

f7

5 33

5 3x x x x+( ) −( )−

+( ) +( ) =____________

______________________________________ ______________________________________

g1 1

2x x x++ =

___________________________h

1

3 3

1

12 2x x x+−

− =

_____________________

______________________________________ ______________________________________

i2

36

5

5 62 2x x x−+

− − =

__________________j

31

15 1

4 3

12x x

x

x−−

+( )− +

− =________________

______________________________________ ______________________________________

Topic 8 - Addition and subtraction of algebraic fractions


FactorisationTOPIC TEST SECTION 1

Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question

1 When 6 2m −( ) is factorised, one of the factors is

A m B 3 C 3m – 2 D 3m – 1

2 The complete factorisation of 3ab – 6a is

A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p

4 x x2 5 6− + expressed as a product of factors is

A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +

6 Which is a factor of 10 212y y+ − ?

A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7

7 Which of the following expressions is equivalent to 5 7 242a a− − ?

A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x

10 mn – ml – kl + kn expressed as a product of factors is

A m k n l+( ) −( ) B m k n l−( ) +( ) C m k l n+( ) −( ) D m k n l−( ) −( )

Marks

Total marks achieved for SECTION 110

1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation

9FactorisationMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning

FactorisationTopic Test PART A

Marks

Total marks achieved for PART A 10

Instructions This part consists of 10 multiple-choice questions Each question is worth 1 mark Attempt ALL questions Calculators are NOT to be used Fill in only ONE CIRCLE for each question

Time allowed: 15 minutes Total marks = 10

Instructions This part consists of 15 questions Each question is worth 1 mark Attempt ALL questions Calculators may be usedTime allowed: 20 minutes Total marks = 15

Questions Answers only

Total marks achieved for PART B 15

Marks

FactorisationTopic Test PART B

10FactorisationMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning



Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used

Marks


Factorise the following:

1 am an+ ___________________

2 − +5 10x ___________________

3 3 6 12a b+ − ___________________

4 am an ml nl+ + + ___________________

5 x a b y a b−( ) + −( ) ___________________

6 ab b a b+ − −2 ___________________

7 x2 16− ___________________

8 9 252 2a b− ___________________

9 a b c2 2 2− ___________________

10 x x2 5 6− + ___________________

11 x x2 10 25− + ___________________

12 2 15 82x x+ − ___________________

13 5 52 2x y− ___________________

14 m2 36− ___________________

15 3 32a − ___________________

Questions Answers

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

Factorisation



Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used

Marks


Factorise the following:

1 am an+ ___________________

2 − +5 10x ___________________

3 3 6 12a b+ − ___________________

4 am an ml nl+ + + ___________________

5 x a b y a b−( ) + −( ) ___________________

6 ab b a b+ − −2 ___________________

7 x2 16− ___________________

8 9 252 2a b− ___________________

9 a b c2 2 2− ___________________

10 x x2 5 6− + ___________________

11 x x2 10 25− + ___________________

12 2 15 82x x+ − ___________________

13 5 52 2x y− ___________________

14 m2 36− ___________________

15 3 32a − ___________________

Questions Answers

2

2

2

2

2

2

2

2

2

2

2

2

2

2

2

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation





A m B 3 C 3m – 2 D 3m – 1


A 3 6ab a−( ) B 3 2a a −( ) C 3 2a b −( ) D 3 6a b −( )

3 15 55− p equals

A 2p B 3 – p C 3 – 5p D 15 – p


A x x+( ) +( )3 2 B x x+( ) −( )3 2 C x x−( ) +( )3 2 D x x−( ) −( )3 2

5 2 3 2m m+( ) −( ) equals

A 2 62m m− − B 2 7 62m m− − C 2 4 62m m− + D 2 3 62m m+ +


A 5y – 7 B 5y + 7 C 2y – 7 D 2y + 7


A 5 8 3a a+( ) −( ) B 5 3 8a a−( ) +( ) C 5 8 3a a−( ) +( ) D 5 3 8a a+( ) −( )

8 Simplify 6 42

m mnm

− .

A 3 – 4mn B 3 – 2n C 3m – 4n D 6m – 2n

9 x x2 25− −( ) equals

A 25 B –25 C 10x – 25 D 25 – 10x



Marks


1

1

1

1

1

1

1

1

1

1

Factorisation

ay + ab - intranet.cesc.vic.edu.au Maths... · QUESTION 2 Factorise the following by taking the...

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Transcript of ay + ab - intranet.cesc.vic.edu.au Maths... · QUESTION 2 Factorise the following by taking the...