Find the coefficient of $x y^{2}$ in the following expression:
$x (- x + 7 y^{2}) + y (2 x^{2} y + 3 x y - x) + x y (9 x y - 6 y)$

-3

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-4

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Solution

The correct option is B 4
$x (- x + 7 y^{2}) + y (2 x^{2} y + 3 x y - x) + x y (9 x y - 6 y)$

$\Rightarrow - x^{2} + 7 x y^{2} + 2 x^{2} y^{2} + 3 x y^{2} - x y + 9 x^{2} y^{2} - 6 x y^{2}$

$\Rightarrow 11 x^{2} y^{2} + 4 x y^{2} - x y - x^{2}$

Coefficient of $x y^{2}$ is 4.

The correct option is B.

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