Question

 (x²-y²)³ + (y²-z²)³+ (z²-x²)³
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(x-y) ³ + (y-z)³ + (z-x)³

simplify by using identity
[ answer: (x+y)(y+z)(x+z) ]

Answer 1

I have explained it well.

Hope it helps you

Answer 2

(x²-y²)³+(y²-z²)³+(z²-x²)³
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(x-y)³+(y-z)³+(z-x)³

a³+b³+c³-3abc. but if a+b+c=3abc
{x²-y²+y²-z²+z²-x²=0}
similarly {x-y+y-z+z-x=0}
so ,
3(x²-y²)(y²-z²)(z²-x²)
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3(x-y)(y-z)(z -x)

[a²-b²={a+b}{a-b}]

(x+y)(x-y)(y-z)(y+z)(z+x)(z-x)
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(x-y)(y-z)(z-x)

(x+y)(y+z)(x+z) Ans