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Factorisation by Common Factors

Simplify: xx...

Question

Simplify:
$x (x - 4) - y (y - 4)$ .

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Solution

Now,
$x (x - 4) - y (y - 4)$
$= x^{2} - y^{2} + 4 y - 4 x$
$= (x + y) (x - y) + 4 (y - x)$
$= (x - y) (x + y - 4)$

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