Find the product $(x + 7 y) (7 x - y)$

7 x^{2} - 7 y^{2} + 48 x y

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6 x^{2} - 7 y^{2} + 48 x y

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7 x^{2} - 7 y^{2} + 49 x y

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6 x^{2} - 7 y^{2} + 49 x y

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Solution

The correct option is A $7 x^{2} - 7 y^{2} + 48 x y$
$(x + 7 y) (7 x - y)$
$= x (7 x - y) + 7 y (7 x - y)$
$= 7 x^{2} - x y + 49 x y - 7 y^{2}$
$= 7 x^{2} - 7 y^{2} + 48 x y$

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