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Question

Factorize: (x−y)3+(y−z)3+(z−x)3

A
3(xy)(yz)(zx)
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B
3(xy)(yz)(xz)
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C
3(xy)(yz)(zx)
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D
None of these
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Solution

The correct option is B 3(xy)(yz)(zx)
It is a simple example of identity
if (a+b+c)=0 then a3+b3+c3=3abc
Here (xy)+(yz)+(zx)=0
Hence (xy)3+(yz)3+(zx)3=3(xy)(yz)(zx)

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