(i) Write each term of the expression as a product of irreducible factors.

(ii) Look for and separate the common factors.

(iii) Combine the remaining factors in each term in accordance with the distributive law.

1) Factorize : 8x + 8

The HCF of 8x and 8 is 8.

8x + 8 = 8 ( x + 1)

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2) Factorize: 4x

The HCF of 4x

4x

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3)

The HCF of 4x

4x

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3)

The HCF of 35 a

a - 21 a b + 14

Examples

= 15 ( x – y ) ( x – y) – 5x ( x – y) – ( x –y )

= ( x – y ) ( – 15y – 1)

H.C.F of two terms is 3x(x + y)

= 3x(x + y) [ 5x - 1]