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Answer to Question #2834 in Algebra for munu

Question #2834
Factorize-
(x-y)3+(y-z)3+(z-x)3+(x+y)3
Expert's answer
(x-y)3 + (y-z)3 + (z-x)3 + (x+y)3 = x3 - y3 -3xy(x-y) + y3 - z3 -3 yz(y-z) +z3 - x3 - 3zx(z-x) + x3+y3 + 3xy(x+y) =
= x3 + y3 + 6xy2 - 3y2z + 3yz2 - 3z2x + 3zx2

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