Factorize each of the following algebraic expressions:
16(2l − 3m)² −12(3m − 2l)

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Solution

$16 (2 l - 3 m)^{2} - 12 (3 m - 2 l) = 16 (2 l - 3 m)^{2} + 12 (2 l - 3 m) [∵ (3 m - 2 l) = - (2 l - 3 m)] = [16 (2 l - 3 m) + 12] (2 l - 3 m) [T a k i n g (2 l - 3 m) a s t h e c o m m o n f a c t o r] = 4 [4 (2 l - 3 m) + 3] (2 l - 3 m) {T a k i n g 4 a s t h e c o m m o n f a c t o r o f [16 (2 l - 3 m) + 12]} = 4 (8 l - 12 m + 3) (2 l - 3 m)$

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