factorize: a cube + 3a square b+3ab square + b cube - 8

Asked by Somi Patel | 14th Aug, 2012, 09:13: PM

Expert Answer:

a3 + 3a2b + 3ab2 + b3 - 8
= a3 + b3 + 3ab (a + b) - 8
= (a + b)3 - (2)3                                              [Using identity]
= (a + b - 2) [(a + b)2 + 2(a + b) + 4]               [Using identity]

Answered by  | 14th Aug, 2012, 10:15: PM

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