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Algebraic Identities

Factorise the...

Question

Factorise the following
$x^{2} y^{2} - 64$

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Solution

As we know that
$a^{2} - b^{2} = (a - b) (a + b)$
$x^{2} y^{2} - 64 = (x y)^{2} - (8)^{2} = (x y - 8) (x y + 8)$

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