Divide:
$8 x^{2} y^{2} - 6 x y^{2} + 10 x^{2} y^{3}$ by $2 x y$

4 y - 3 y + 5 x y^{3}

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4 x y - 3 y - 5 x y^{3}

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4 x - 3 y - 5 x y^{2}

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4 x y - 3 y + 5 x y^{2}

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Solution

The correct option is D $4 x y - 3 y + 5 x y^{2}$
$8 x^{2} y^{2} - 6 x y^{2} + 10 x^{2} y^{3} \div 2 x y$
$\frac{8 x^{2} y^{2} - 6 x y^{2} + 10 x^{2} y^{3}}{2 x y}$
$= \frac{2 x y (4 x y - 6 y + 10 x y^{2})}{2 x y}$
$= 4 x y - 3 y + 5 x y^{2}$

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