Solve: $5 (2 x + y)^{2} - (2 x + y) (x - 7 y)$

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Solution

$5 (2 x + y)^{2} - (2 x + y) (x - 7 y)$
$\Rightarrow 5 (2 x + y) (2 x + y) - (2 x + y) (x - 7 y)$
$\Rightarrow 5 (4 x^{2} + 2 x y + 2 x y + y^{2}) - (2 x^{2} + x y - 14 x y - 7 y^{2})$
$\Rightarrow 20 x^{2} + 10 x y + 10 x y + 5 y^{2} - 2 x^{2} + 13 x y + 7 y^{2}$
$\Rightarrow 18 x^{2} + 33 x y + 12 y^{2}$ Answer

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