Question

prove that (i) a^3 + b^3 = ( a+b) (a^2 + b^2 -ab)​

Answer 1

RHS=(a+b)(a^2+b^2-ab)

 opening the brackets.....

       =a^3+ab^2-a^2b+a^2b+b^3-ab^2

       =a^3+b^3

       =LHS

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