Factorise the given polynomial $x^{5} y^{5} + x^{3} y^{3} + x^{2} y^{2}$

x^{2} y^{2} (x^{3} y^{3} + x y + 1)

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x^{2} y^{2} (x^{3} y^{3} + x y - 1)

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x^{2} y^{2} (x^{3} y^{3} - x y + 1)

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x y (x^{3} y^{3} + x y + 1)

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Solution

The correct option is A $x^{2} y^{2} (x^{3} y^{3} + x y + 1)$
Minimum power of $x$ is $2$ and minimum power of $y$ is $2$
On taking $x^{2} y^{2}$ as common factor , we get the final answer to be option (a)

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