The possible expressions for the adjacent sides of the rectangle having

$35 y^{2} + 13 y - 12$ as its area are and

(5y−4) and (7y+3)

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(5y+4) and (7y−3)

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(5y−4) and (7y−3)

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(5y+4) and (7y+3)

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Solution

The correct option is B
(5y+4) and (7y−3)

We need to factorize the expression

$35 y^{2} + 13 y - 12$

$35 y^{2} - 15 y + 28 y - 12$

$5 y (7 y - 3) + 4 (7 y - 3)$

$(7 y - 3) (5 y + 4)$

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