Factorize: a(a + b)3 – 3a2b(a + b) – InterviewSolution

1.

Factorize: a(a + b)3 – 3a2b(a + b)

Answer»

a(a + b)³ – 3a²b(a + b)

= a(a + b) {(a + b)² – 3ab}

= a(a + b) {a² + b² + 2ab – 3ab}

= a(a + b) (a² + b² – ab)

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