Divide $(45 x + 40 x y + 24 y + 27)$ by $(8 y + 9)$

(3 x + 5)

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(5 x + 3)

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(8 y + 9)

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(9 y + 8)

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Solution

The correct option is B $(5 x + 3)$
$(45 x + 40 x y + 24 y + 27)$
$= 5 x (9 + 8 y) + 3 (8 y + 9)$
$= 5 x (8 y + 9) + 3 (8 y + 9)$
$= (8 y + 9) (5 x + 3)$

$∴ (45 x + 40 x y + 24 y + 27) \div (8 y + 9)$

$= \frac{(45 x + 40 x y + 24 y + 27)}{(8 y + 9)}$

$= \frac{(8 y + 9) (5 x + 3)}{(8 y + 9)} = (5 x + 3)$

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