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Question

Can you tell me the derivation of identity (a + b)3 = a3 + b3 + 3ab (a + b)

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Solution

(a+b)3=[(a+b)(a+b)] (a+b)=[a2+b2+2ab](a+b)
a(a2+b2+2ab)+b(a2+b2+2ab)
=a3+ab2+2(a2)b+(a2)b+b3+2a(b2)=a3+3a2b+3ab2+b3 = l.h.s
HENCE VERIFIED!.

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