Expand the following, using suitable identities. (x^2 y-x y^2 )^2 - Vidyadip

Question

Expand the following, using suitable identities.
$ \left(x^2 y-x y^2\right)^2 $

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Answer

$ \left(x^2 y-x y^2\right)^2 $
$ =\left(x^2 y\right)^2+\left(x y^2\right)^2-2\left(x^2 y\right)^2\left(x y^2\right) $
$ =x^4 y^2+x^2 y^4-2 x^3 y^3 $

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