Divide : $30 x^{3} y^{2} - 20 x y^{3} + 12 x y - 13 y$ by $- 5 x y$

- 6 x^{2} y + 4 y^{2} - \frac{12}{5} + \frac{13}{5 x}

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- 6 x^{2} y - 4 y^{2} + \frac{12}{5} + \frac{13}{5 x}

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- 6 x^{2} y + 4 y^{2} - 5 + 13

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- 6 x^{2} y - 4 y^{2} + \frac{11}{6} - 12

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Solution

The correct option is B $- 6 x^{2} y + 4 y^{2} - \frac{12}{5} + \frac{13}{5 x}$
$30 x^{3} y^{2} - 20 x y^{3} + 12 x y - 13 y$ by $- 5 x y$
$\frac{30 x^{3} y^{2} - 20 x y^{3} + 12 x y - 13 y}{- 5 x y} = \frac{30 x^{3} y^{2}}{- 5 x y} - \frac{20 x y^{3}}{- 5 x y} + \frac{12 x y}{- 5 x y} - \frac{13 y}{- 5 x y}$
$= - 6 x^{2} y + 4 y^{2} - 12 / 5 + 13 / 5 x$
Answer (A) $- 6 x^{2} y + 4 y^{2} - 12 / 5 + 13 / 5 x$

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