Factorisation Class 8 Worksheet

# Factorisation Class 8 Worksheet

## Factorisation Class 8 Worksheet with Answers

Factorisation Class 8 Worksheets play a vital role in strengthening the maths concepts. After studying the concepts of mathematics, revision of Factorisation Class 8 Worksheets is very important for the students. This assesses the preparation of the students. Students can assess themselves by its own by solving the Factorisation Class 8 Worksheets. Parents and teachers can also assess the students by giving them these Factorisation Class 8 Worksheets to solve.

Maths-formula brings such worksheets on factorisation class 8 for you. By solving these Factorisation Class 8 Worksheets, you can increase the understanding of the concepts learnt. These Factorisation Class 8 Worksheets are prepared by experienced teachers and subject matter experts.

## Factorisation Class 8 Worksheet with Answers

1. Factorise the following expressions.

a. 8a – 24

b. 5x2 + 25x

c. 9p2 + 15q2

d. –35yz + 21z2

e. xy + yz + xyz

f. 3x – 9a

g. 5x3 – 15x

h. 26xy3 – 13x3y2 + 52xy2

2. Factorise each of the following:

a. ax b + ab x

b. x + 6y – 6 – xy

c. 3y2 + y3 + 3 + y

d. 9xy + 6yz + 15px + 10zp

e. ax + ay + bx + by

f. 15xy – 6x + 5y – 2

3. Factorise each of the following:

a. 9x2(1 – y) + 6x(1 – y) – 12(1 – y)

b. 3yz(a b c) – 3z(a b c) + 21z2(a b c)

c. 15x(lu mv) + 25y(lu mv) + 30z (lu – mv)

d. 20(p2q2)2 – 30(p2q2)3 + 5(p2q2)

4. Factorise the following.

a. 9x2 – 12xy + 4y2

b. 25a2 + 60ab + 36b2

c. 49p2 – 112pq + 64q2

d. 81a2 + 72ab + 16b2

e. a4 – 2a2b2 + b4

f. 4x2 + 12xy + 9y2

5. Factorise the following expressions by grouping:

a. xy + 4x + 2y + 8

b. ab – 3a + 2b – 6

c. ac ad + bc bd

d. 6 + 2y + 3x + xy

e. ab ad bc + cd

f. a ab + b b2

g. 4p – 6q – 6p2 + 9pq

h. 2x xy + 4y – 8

i. 3x xy + 4y – 12

j. 5p pq + 2q – 10

k. 6 – 2y + xy – 3x

l. 7(x + y) – 14x – 14y

6. Factorise the following:

a. 4x2 – 9

b. 25x2 – 16

c. 49x2 – 81

d. 25y4 – 16

e. 64x2 – 36

f. 16x8 – 625

g. (5p + 7q)2 – (7p + 5q)2

h. 28x3 – 7x

7. Factorise the following:

a. x2 – 14x + 45

b. x2 + 18x + 81

c. x2 – 8x + 16

d. x2 + 11x – 42

e. x2 + 16x – 80

f. x2 + 16x + 48

g. 2x2 + 5x – 12

h. 7x2 – 5x – 12

i. 5x2 + x – 18

j. x2 – 6x – 40

1. a. 8(a – 3)

b. 5x(x + 5)

c. 3(3p2 + 5q2)

d. 7z(–5y + 3z)

e. y(x + z + xz)

f. 3(x – 3a)

g. 5x(5x2 – 3)

h. 13xy2(2yx2 + 4)

2. a. (a – 1) (x + b)

b. (1 y) (x – 6)

c. (y2 + 1) (y + 3)

d. (3x + 2z) (3y + 5p)

e. (x + y) (a + b)

f. (5y – 2) (3x + 1)

3. a. 3(1 – y) (3x2 + 2x – 4)

b. 3z(a b c) (y – 1 + 7z)

c. 5(lu mv) (3x + 5y + 6z)

d. 5(p2q2) [4(p2q2) – 6(p2q2)2 + 1]

4. a. (3x – 2y)2

b. (5a + 6b)2

c. (7p – 8q)2

d. (9a + 4b)2

e. (a2b2)2

f. (2x + 3y)2

5. a. (x + 2) (y + 4)

b. (a + 2) (b – 3)

c. (a + b) (cd)

d. (2 + x) (3 + y)

e. (ac) (bd)

f. (1 – b) (a + b)

g. (2p – 3q) (2 – 3p)

h. (2 – y) (x – 4)

i. (3 – y) (x – 4)

j. (5 – q) (p – 2)

k. (3 – y) (2 – x)

l. -7(x + y)

6. a. (2x + 3) (2x – 3)

b. (5x + 4) (5x – 4)

c. (7x + 9) (7x – 9)

d. (5y2 + 4) (5y2 – 4)

e. 4(4x + 3) (4x – 3)

f. (4x4 + 25) (4x4 – 25)

g. 24(p + q) (qp)

h. 7x(2x + 1) (2x – 1)

7. a. (x – 9) (x – 5)

b. (x + 9) (x + 9)

c. (x – 4) (x – 4)

d. (x + 14) (x – 3)

e. (x + 20) (x – 4)

f. (x + 12) (x + 4)

g. (x + 4) (2x – 3)

h. (x + 1) (7x – 12)

i. (x + 2) (5x – 9)

j. (x + 4) (x – 10)

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