-9*x*y*z %2B z^3 %2B 27*x^3 %2B y^3 – InterviewSolution

InterviewSolution

1.

-9xyz %2B z^3 %2B 27x^3 %2B y^3

Answer»

Using identity

a^3 + b^3 + c^3 - 3abc = (a + b + c )(a^2 + b^2 + c^2 - ab - ac - bc)

Then,27x^3 + y^3 + z^3 - 9xyz= (3x + y + z)(9x^2 + y^2 + z^2 - 3xy - 3xz - yz)

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