Evaluate
$(5 x + 2 y)^{2} + (5 x - 2 y)^{2}$

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Solution

$(5 x + 2 y)^{2} + (5 x - 2 y)^{2}$
$= 25 x^{2} + 4 y^{2} + 20 x y + 25 x^{2} + 4 y^{2} - 20 x y$
$= 50 x^{2} + 8 y^{2}$

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