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Exercise 4.1

Resolve into partial fractions.

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Exercise 4.2

Resolve into partial fractions

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Exercise 4.3

Resolve into partial fractions.

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EXERCISE 3.3

1. Find a third proportional to

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(i) 6, 12 (ii) a3, 3a2

(iii) a2- 2, a - b (iv) (x - y)2,x3- y3

(v) (x + y)2,x2-xy - 2y2 (vi)

(i) 6, 12 (ii) a3, 3a2

(iii) a2- b2, a - b (iv) (x - y)2,x3- y3

(v) (x + y)2,x2-xy - 2y2 (vi)

2. Find a fo!rth proportional to

(i) 5, 8, 15 (ii) 4x4, 2x3, 18x5

(iii) 15a56, 1"a25, 21a33 (iv) x2- 11x# 24, (x- 3), 5x4- 4"x3

(v) p3# q3,p2-q2,p2-pq# q2 (vi) (p2 - $2)(p2# p$ # $2) , p3# $3 , p3- $3

3. Find a %ean proportional et&een

(i) 2", 45 (ii) 2"'35, 5'7

(iii) 15p4qr3, 135q5r7 (iv)

4. Find the val!es of the letter involved in the follo&in contin!ed proportions.

(i) 5,p, 45 (ii) 8,x, 18

(iii) 12, 3p- 6, 27 (iv) 7,m- 3, 28