Simplify:$ 6(2 a+3 b)^{2}-8(2 a+3 b) $
Given:
\( 6(2 a+3 b)^{2}-8(2 a+3 b) \)
To do:
We have to simplify \( 6(2 a+3 b)^{2}-8(2 a+3 b) \).
Solution:
$6(2a+3b)^2-8(2a+3b)=2(2a+3b)[3(3a+2b)-4]$ [Taking $2(2a+3b)$ common]
$=2(2a+3b)(9a+6b-4)$
Hence, $6(2a+3b)^2-8(2a+3b)=2(2a+3b)(9a+6b-4)$.
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