# Answer to Question #2834 in Algebra for munu

Question #2834

Factorize-

(x-y)

(x-y)

^{3}+(y-z)^{3}+(z-x)^{3}+(x+y)^{3}Expert's answer

(x-y)

= x

^{3}+ (y-z)^{3}+ (z-x)^{3 }+ (x+y)^{3}= x^{3}- y^{3}-3xy(x-y) + y^{3}- z^{3}-3 yz(y-z) +z^{3}- x^{3}- 3zx(z-x) + x^{3}+y^{3}+ 3xy(x+y) == x

^{3}+ y^{3}+ 6xy^{2}- 3y^{2}z + 3yz^{2}- 3z^{2}x + 3zx^{2}Need a fast expert's response?

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