Q. 213.5( 4 Votes )

Factorize:

(a + b)3 – (a – b)3

Answer :

We know that,


a3 - b3 = (a - b) (a2 + a × b + b2)


Using this formula, we get


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


= (a + b – a + b) [a2 + b2 + 2ab + a2 – b2 + a2 + b2 – 2ab]


= 2b (3a2 + b2)


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