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Method of Common Factors

Factorise : 2...

Question

Factorise : $2 a + 6 b - 3 (a + 3 b)^{2}$
$2 a + 6 b - 3 (a + 3 b)^{2}$
$= 2 (a + 3 b) - 3 (a + 3 b)^{2} [T a k i n g 2 c o m m o n f r o m 2 a + 6 b]$
$= (a + 3 b) {\begin{matrix} 2 - 3 (a + 3 b) \end{matrix}} [T a k i n g (a + 3 b) c o m m o n]$
$= (a + 3 b) (2 - 3 a - 9 b)$

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