verify the Identity (a+b)whole cube =a cube+b cube+3ab(a+b)
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(a+b)^3=a^3+b^3+3ab(a+b)
take (a+b)^3
we can write (a+b)^3 in the form of (a+b)^2×(a+b)
then
(a^2+ b^2+2ab)(a+b)
= a^3+a^2b+b^2a+b^3+2a^2b+2ab^2
= a^3+b^3+3ab(a+b)
hence proved
LHS=RHS
take (a+b)^3
we can write (a+b)^3 in the form of (a+b)^2×(a+b)
then
(a^2+ b^2+2ab)(a+b)
= a^3+a^2b+b^2a+b^3+2a^2b+2ab^2
= a^3+b^3+3ab(a+b)
hence proved
LHS=RHS
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