Find the product of
$(0.5 x - y)$ and $(0.5 x + y)$

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Solution

$(0.5 x - y) (0.5 x + y)$
$= 0.5 x (0.5 x + y) - y (0.5 x + y)$
$= 0.25 x^{2} + 0.5 x y - 0.5 x y - y^{2}$
$= 0.25 x^{2} - y^{2}$

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