$\frac{4 a^{2} - 8 a + 5 a b - 10 b}{4 a + 5 b} = . . . . . . . . . . . . . .$

a - 2

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a + 2

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4 a + 5 b

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4 a - 5

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Solution

The correct option is A $a - 2$
$\frac{4 a^{2} - 8 a + 5 a b - 10 b}{4 a + 5 b}$

$= \frac{4 a (a - 2) + 5 b (a - 2)}{4 a + 5 b}$

$= \frac{(a - 2) (4 a + 5 b)}{4 a + 5 b}$

$= 4 a + 5 b$

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