How to factorise x^5-y^5 ?????

The given polynomial is x5y5.

Putting x = y, we get 

x5y5 = x5x5 = 0 

∴ (xy) is the factor of x5y5.            (Factor Theorem)

Thus, (x5y5) = (xy) (x4 + x3y + x2y2 + xy3 + y4)

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