Q24 of 274 Page 76

Factorize:

3a7b – 81a4b4

We know that,


a3 - b3 = (a - b) (a2 + a × b + b2)


Using this formula, we get


= 3a4b (a3 – 27b3)


= 3a4b [(a)3– (3b)3]


= 3a4b (a – 3b) [(a)2 + a (3b) + (3b)2]


= 3a4b (a – 3b) (a2 + 3ab + 9b2)


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