16. Verify: (i) x'ăś-e+ y) (x2-xy + y2) – InterviewSolution

1.

16. Verify: (i) x'ăś-e+ y) (x2-xy + y2)

Answer»

x^3 + y^3 = (x+y)(x^2 - xy + y^2)

LHS: x^3 + y^3

RHS: (x+y)(x^2 - xy + y^2)=(x^3 - x^2y + xy^2) + (x^2y - xy^2 + y^3)= (x^3 + - x^2y + x^2y+ xy^2 - xy^2 + y^3)= x^3 + y^3

LHS = RHS

Hence proved

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