Question
Factorize of the following algebraic expressions:$16(2 L-3 m)^2-12(3 m-2 L)$
✓
Answer
$16(2 L-3 m)^2-12(3 m-2 L)$
$=16(2 L-3 m)^2+12(2 L-3)[(3 m-2 L)=-(2 L-3 m)]$
$= [16(2L - 3m) + 12] (2L -3)$ [taking $(2L -3)$ as the common factor]
$= 4[4(2L - 3m) + 3] (2L -3)$ [taking 4 as the common factor]
$= 4(8L - 12m +3)(2L - 3m)$
$=16(2 L-3 m)^2+12(2 L-3)[(3 m-2 L)=-(2 L-3 m)]$
$= [16(2L - 3m) + 12] (2L -3)$ [taking $(2L -3)$ as the common factor]
$= 4[4(2L - 3m) + 3] (2L -3)$ [taking 4 as the common factor]
$= 4(8L - 12m +3)(2L - 3m)$
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