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

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Solution

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

$= x (2 y + 3 x) + y (2 y + 3 x) + 3 x (y + 2 x) + y (y + 2 x)$

$= 2 x y + 3 x^{2} + 2 y^{2} + 3 x y + 3 x y + 6 x^{2} + y^{2} + 2 x y$

$= 9 x^{2} + 10 x y + 3 y^{2}$

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x + 2 x + 3 x

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