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Question

One of the factors of $x^{7} + x y^{6}$ is :
$x^{2} + y^{2}$
x
either A or B
neither A nor B

A

x

B

x^{2} + y^{2}

C

either A or B

D

neither A nor B

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Solution

Verified by Toppr

$x^{7} + x y^{6} = x (x^{6} + y^{6})$
$= x [(x^{2})^{3} + (y^{2})^{3}]$
$= x (x^{2} + y^{2}) (x^{4} - x^{2} y^{2} + y^{4})$

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