Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)²

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Solution

$6 (a + 2 b) - 4 (a + 2 b)^{2} = [6 - 4 (a + 2 b)] (a + 2 b) [T a k i n g (a + 2 b) a s t h e c o m m o n f a c t o r] = 2 [3 - 2 (a + 2 b)] (a + 2 b) {T a k i n g 2 a s t h e c o m m o n f a c t o r o f [6 - 4 (a + 2 b)]} = 2 (3 - 2 a - 4 b) (a + 2 b)$

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