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Factorisation by Common Factors

Factorize : ...

Question

Factorize :
$7 x (3 x - y) + 7 y (3 x - y)$

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Solution

To factorise $\to 7 x (3 x - y) + 7 y (3 x - y)$

Take $(3 x - y)$ as common

$= (3 x - y) (7 x + 7 y)$

$= (3 x - y) .7 (x + y) = 7 (3 x - y) (x + y)$

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