Simplify $(x + y) (x - y) + (2 x - y) (3 x + y)$

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

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

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

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

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Solution

The correct option is A $7 x^{2} - 2 y^{2} - x y$
$(x + y) (x - y) + (2 x - y) (3 x + y)$
$= x^{2} - x y + x y - y^{2} + 6 x^{2} + 2 x y - 3 x y - y^{2}$
$= 7 x^{2} - 2 y^{2} - x y$

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