Question

Factorize each of the following algebraic expressions:
$9a(6a-5b)-12a^2(6a-5b)$

Answer 1

Given expression: $9a(6a-5b)-12a^2(6a-5b)$

$\therefore 9a(6a-5b)-12a^2(6a-5b)$
$=(6a-5b)(9a-12a^2)$
[taking $(6a-5b)$ common ]
$=(6a-5b)(3\times 3\times a-2\times 2\times 3\times a\times a)$
$=(6a-5b)\times 3a(3-4a)$
[taking $3a$ common from ($9a-12a^2$)]
$=3a(3-4a)(6a-5b)$

Hence, the factorized from is $3a(3-4a)(6a-5b)$.