Divide $10 a^{2} b^{2} (5 x - 25)$ by $15 a b (x - 5)$

\frac{2}{3}

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\frac{10 a b}{3}

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10 a b

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\frac{15 a b}{2}

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Solution

The correct option is B $\frac{10 a b}{3}$
$10 a^{2} b^{2} (5 x - 25) \div 15 a b (x - 5)$

$= \frac{10 a^{2} b^{2} (5 x - 25)}{15 a b (x - 5)}$

$= \frac{2 a b \times 5 (x - 5)}{3 (x - 5)} = \frac{10 a b}{3}$

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