Factorise completely and state whether the answer is True or False.
$a x^{2} - a y^{2}$ is $a (x + y) (x - y)$ .

True

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False

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Solution

The correct option is A True
$a x^{2} - a y^{2} = a (x^{2} - y^{2})$
Formula $a^{2} - b^{2} = (a + b) (a - b)$

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

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Factorise Completely : $a x^{2} - a y^{2}$

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