FACTORISATION WORKSHEET CLASS 8 MATHS

 

      FACTORISATION WORKSHEET CLASS 8 MATHS

by krishan kumar.

The common factor of 3ab and 2cd is (a) 1 (b) – 1 (c) a (d) c 

1.The factorised form of 3x – 24 is (a) 3x × 24 (b) 3 (x – 8) (c) 24 (x – 3) (d) 3(x – 12) 

1. 

1. Find the common factors of the following terms. i. 25x2y, 30xy2 

ii. 63m3n, 54mn4 

5. Factorise the following expressions.

 i. 15x2y3z + 25x3y2z + 35x2y2z2 

ii. a4b – 3a2b2 – 6ab3 

iii. 2L2mn – 3Lm2n + 4Lmn2 

iv. 6x(2x – y) + 7y(2x – y) 

v. 2r(y – x) + s(x – y)

 vi. (x – y)2 + (x – y) 

vii. a(x – y) + 2b(y – x) + c(x – y)2 

viii. x3 (a – 2b) + x2 (a – 2b)

 ix. p2q – pr2 – pq + r2 

x. x2 + yz + xy + xz 

xi. xa2 + xb2 – ya2 – yb2 

xii. a(a + b – c) – bc

 xiii. 16x2 - 225y2 

xiv. x4 – (x – y)4 

xv. 16x4 – 81

 xvi. (a – b)2 + 4ab 

xvii. x2 + 2x + 1- 9y2 

xviii. 25 – p2 – q2 – 2pq 

xix. 25x2 – 10x + 1 – 36y2

 xx. 9z2 - x2 + 4xy – 4y2

 xxi. 4p2 –20p+25 

xxii. x2 + 14x + 45

 xxiii. x2 – 22x + 120 

xxiv. a2 – 2a – 3 

xxv. a2 + 14a + 48

 6. Evaluate the following divisions: 

(a) (3b – 6a) ÷ (30a – 15b) 

(b) (4x2 – 100) ÷ 6(x + 5) 

7. Find and correct the errors in the statement: (3x)2 + 5x = 9x + 5x = 14x

 8. Factorise the expressions and divide them as directed: 

i. (x2 – 22x + 117) ÷ (x – 13) 

ii. (x3 + x2 – 132x) ÷ x (x – 11) 

iii. (2x3 – 12x2 + 16x) ÷ (x – 2) (x – 4)

 9. Divide 15 (y + 3) (y2 – 16) by 5 (y2 – y – 12)

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