factorize: (x-y)^3 + (y-z)^3 +(z-x)^3

Answers (1)

solution: Let  x-y =a , y-z =b and z-x=c.  then,

    a+b+c=x-y+y-z+z-x =0

	herefore a^3+b^3+c^3=3abc

	herefore a^3+b^3+c^3=3abc Rightarrow (x-y)^3+(y-z)^3+(z-x)^3=3(x-y)(y-z)(z-x)

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