Factorize: $x^{7} y + x y^{7}$

x y (x^{2} - y^{2}) (x^{4} + y^{4} - x^{2} y^{2})

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x y (x^{2} + y^{2}) (x^{4} + y^{4} - x^{2} y^{2})

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x y (x^{2} + y^{2}) (x^{4} - y^{4} + x^{2} y^{2})

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None of these

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Solution

The correct option is A $x y (x^{2} + y^{2}) (x^{4} + y^{4} - x^{2} y^{2})$
$x^{7} y + x y^{7} = x y (x^{6} + y^{6}) = x y (x^{2} + y^{2}) (x^{4} - x^{2} y^{2} + y^{4})$
as $(a^{3} + b^{3}) = (a + b) (a^{2} - a b + b^{2})$

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Similar questions

Simplify: $(x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4})$

x^{4} + x^{2} y^{2} + y^{4}

$(x - y) (x + y) (x^{2} + y^{2}) (x^{4} + y^{4}) is equal to$

x^{4} + y^{4} + x^{2} y^{2}

x^{4} + y^{4} + x^{2} y^{2}

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