Q12 of 274 Page 76

Factorize:

2a3 + 16b3 – 5a – 10b

We know that,


a3 + b3 = (a + b) (a2 – a × b + b2)


Using this formula, we get


= 2 (a3 + 8b3) – 5 (a + 2b)


= 2 [(a)3 + (2b)3] – 5 (a + 2b)


= 2 (a + 2b) [(a)2 – a (2b) + (2b)2] – 5 (a + 2b)


= (a + 2b) [2 (a2 – 2ab + 4b2) – 5]


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