what is the value of (x-y)^3 +(y-z)^3 +(z-x)^3 ?
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(x-y)³+(y-z)³+(z-x)³
[a³+b³+c³-3abc]
[but when a+b+c=0, so a³+b³+c³=3abc]
[x-y+y-z+ z-x=0]
so, 3(x-y)(y-z)(z-x)
[a³+b³+c³-3abc]
[but when a+b+c=0, so a³+b³+c³=3abc]
[x-y+y-z+ z-x=0]
so, 3(x-y)(y-z)(z-x)
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