Q27 of 274 Page 76

Factorize:

a3 + 3a2b + 3ab2 + b3 – 8

We know that,


(a + b)3 = a3 + b3 + 3ab (a + b)


Using this formula, we get


= (a + b)3 – 8


= (a + b)3 – (2)3


We know that,


a3 - b3 = (a - b) (a2 + a × b + b2)


Using this formula, we get


= (a + b – 2) [(a+ b)2 + 2 (a + b) + 4)]


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Factorize:

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125a3 + b3 + 64c3 – 60abc

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Factorize:

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