Simplify $(x + y) (a + b) + (x - y) (a + b)$ .

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Solution

Given,
$(x + y) (a + b) + (x - y) (a + b)$
$\Rightarrow (a x + a y + b x + b y) + (a x - a y + b x - b y)$
$\Rightarrow a x + a y + b x + b y + a x - a y + b x - b y$
$\Rightarrow 2 a x + 2 b x$
$\Rightarrow 2 x (a + b)$ Ans

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