$2 x + 5 y$ multiplied with $4 y + 7$ is equal to

9 y^{2} + 6 x y + 12 y + 9 x

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20 y^{2} + 8 x y + 35 y + 14 x

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Solution

The correct option is B $20 y^{2} + 8 x y + 35 y + 14 x$
Applying distributive law we get,

$= 2 x \times (4 y + 7) + 5 y \times (4 y + 7)$
$= (2 x \times 4 y + 2 x \times 7) + (5 y \times 4 y + 5 y \times 7)$
$= (8 \times x y + 14 x) + (20 \times y^{2}) + (35 \times y)$
$= 8 x y + 14 x + 20 y^{2} + 35 y$
$= 20 y^{2} + 8 x y + 35 y + 14 x$

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