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Factorisation by Common Factors

Solve : 6xy-...

Question

Solve :
$6 x y - 4 y + 6 - 9 x$

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Solution

Given, $6 x y - 4 y + 6 - 9 x$

$= 6 x y - 9 x - 4 y + 6$

$= 3 x (2 y - 3) - 2 (2 y - 3)$

$= (2 y - 3) (3 x - 2)$

Therefore,
$6 x y - 4 y + 6 - 9 x = (2 y - 3) (3 x - 2)$

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