prove that (A+B)3=A3+B3+3A2B+3AB2
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Answer:
(a+b)^3=(a+b)^2(a+b)
=(a^2+2ab+b^2)(a+b)
=a^3+2a^2b+ab^2+a^2b+2ab^2+b^3
=a^3+3a^2
b+3ab^2+b^3
hence proved
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