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Factorisation by Regrouping Terms

Factorise Com...

Question

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

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Solution

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

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Factorisation by Regrouping Terms

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