Factors-2

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Factorize :

(i) x 3 - 3 x 2 + x - 3

(ii) a b 2 - (a - 1) b - 1

Solution :

(i) x 3 - 3 x 2 + x - 3 = x 2 (x - 3) + 1 (x - 3)

= (x - 3) (x 2 + 1)

(ii) a b 2 - (a - 1) b - 1 = a b 2 - a b + b - 1

= a b (b - 1) + 1 (b - 1)

= (b - 1) (a b + 1)

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