Example
đĽ2
đĽâ1âđĽ+1đĽ+2
áđĽ
(đĽâ1)(đĽ+2)ANSWER x(x+1)
Example
đĽ2â42đĽ2â5đĽ+2
á2 đĽ2â3 đĽâ24 đĽ2â1ANSWER
Example
đ2+4đđ +3 đ 2
đ2+5đđ +6đ 2â (đ+2đ )â 1á đ+đ
đ2+4đđ +4 đ 2ANSWER 1
Adding and Subtracting
Rational Expressions
Advanced Math Topics
Mrs. Mongold
Adding and Subtracting Rational
Expressions⢠Finding Least Common Multiples and Least
Common Denominators!o Use prime factorization
o Example: Find the LCM of 6 and 4⢠6 = 2¡3⢠4 = 22
⢠LCM= 22¡3 = 12
Find the LCM⢠1. a2 â 6a + 9 and a2 + a -12
Find the LCM⢠2. 18r2s5, 24r3st2, and 15s3t
Find the LCM ⢠3. 12a2b4, 27ac3, and 18a5b2c
Find the LCM⢠4. p3 + 5p2 + 6p and p2 + 6p + 9
Find the LCM⢠5. q2 â 4q + 4 and q3 â 3q2 + 2q
Find the LCM⢠6. 2k3 â 5k2 â 12l and k3 â 8k2 +16k
Find the LCM⢠7. x3-x2 â 2x and x2 â 4x + 4
Add and Subtract Rational
Expressions⢠Same as fractionsâŚ
o To add two fractions we find the LCD, the same things is going to happen with rational expressions
Examples⢠8. Simplify xy
y
y
x
1815
72
Examples⢠9. Simplify 27
1
9
8
abb
a
Examples⢠10. Simplify
y
x
xy 5
3
3
2
Examples⢠11. Simplify
22
1
8
1
mnnm
Examples⢠12. Simplify
ab
d
b
c
3
2
7
62
Examples⢠13. Simplify
82
4
164
12
w
w
w
w
Examples ⢠14. Simplify
62
6
186
6
x
x
x
x
Examples⢠15. Simplify
2012
1
583
12
x
x
xx
x
Homework⢠1.
⢠2.
⢠3.
⢠4.
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