Factorise the expression:

$15 x y + 15 + 9 y + 25 x$

3 (5 x y + 3 y) + 5 (5 x + 3)

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(3 y + 5) (5 x + 3)

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(3 x + 5) (5 y + 3)

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8 (3 x + 5 y)

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Solution

The correct option is B $(3 y + 5) (5 x + 3)$
$15 x y + 15 + 9 y + 25 x$
Rearranging the terms:
$15 x y + 9 y + 25 x + 15$
Taking out common factors from first two terms and last two terms:
$3 y (5 x + 3) + 5 (5 x + 3)$
$= (3 y + 5) (5 x + 3)$

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