a^3+b^3=(a+b) (a^3+b^3-ab)
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=(a^2 + b^2 + 2ab) (a+b) =a^2(a+b) + b^2(a+b) + 2ab(a+b) =a^3 + a^2b + ab^2 + b^3 + 2a^2b + 2ab^2 =a^3 + b^3 + 3a^2b + 3ab^2 =a^3 + ...
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