verify the identity (a+b)3 =a3+3a2b2+b3
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(A+B)^3=(a+b)(a+b)(a+b)
(a^2+b^2+2ab)(a+b)
a^3+b^2a+2a^2b+a^b+b^3+a^2b
a^3+3a^2b+3ab^2+b^3
hence proved
(a^2+b^2+2ab)(a+b)
a^3+b^2a+2a^2b+a^b+b^3+a^2b
a^3+3a^2b+3ab^2+b^3
hence proved
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