Factorize -
${a x}^{2} + {b x}^{2} - {a y}^{2} - {b y}^{2}$

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Solution

$a x^{2} + b x^{2} - a y^{2} - b y^{2}$

$= (a + b) x^{2} - (a + b) y^{2}$

$= (a + b) (x^{2} - y^{2})$

$= (a + b) (x + y) (x - y)$

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