Answer:
Hello,
we know that
(x^3+y^3+z^3 - 3xyz)= (x+y+z)(x^2+y^2+z^2-xy-yz-zx)
therefore, x^3+y^3+z^3 = {(x+y+z)(x^2+y^2+z^2-xy-yz-zx)+3xyz}
Hence, (x^3+y^3+z^3)^1/3=
{(x+y+z)(x^2+y^2+z^2-xy-yz-zx)+3xyz}^1/3 ans.
Thank you! !
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Answers & Comments
Answer:
Hello,
we know that
(x^3+y^3+z^3 - 3xyz)= (x+y+z)(x^2+y^2+z^2-xy-yz-zx)
therefore, x^3+y^3+z^3 = {(x+y+z)(x^2+y^2+z^2-xy-yz-zx)+3xyz}
Hence, (x^3+y^3+z^3)^1/3=
{(x+y+z)(x^2+y^2+z^2-xy-yz-zx)+3xyz}^1/3 ans.
Thank you! !