Factorization

Exercise 1

1. Find the common factors of the given terms.

(i) 12x, 36

factorization 1

(ii) 2y, 22xy

factorization 2

Common factor = 2

(iii) 14 pq, 28 p2q2

factorization 3

(iv) 2x, 3x², 4

factorization 4

There is no common factor other than unity, so common factor= 1

(v) 6 abc, 24ab², 12 a²b

factorization 5

(vi) 16 x³, – 4x², 32x

factorization 6

Common factor = 2x

(vii) 10 pq, 20qr, 30rp

factorization 7

(viii) 3x² y³, 10x³ y²,6 x² y²z

factorization 8

2. Factorise the following expressions.

(i) 7x – 42

factorization 9

(ii) 6p – 12q

factorization 9

(iii) 7a² + 14a

factorization 10

(iv) – 16 z + 20 z³

factorization 11

(v) 20 l² m + 30 a l m

factorization 12

(vi) 5 x² y – 15 xy²

factorization 13

(vii) 10 a² – 15 b² + 20 c²

factorization 14

(viii) – 4 a² + 4 ab – 4 ca

factorization 15

(ix) x² y z + x y²z + x y z²

factorization 16

(x) a x² y + b x y² + c x y z²

factorization 17

3. Factorise.

(i) x² + x y + 8x + 8y

factorization 19

(ii) 15 xy – 6x + 5y – 2

factorization 20

(iii) ax + bx – ay – by

factorization 21

(iv) 15 pq + 15 + 9q + 25p

factorization 22

(v) z – 7 + 7 x y – x y z

factorization 23