Factor the GCF out of the given expression.
-$$2 x ( 6 x - 5 ) - 3 ( 6 x - 5 )$$
A) $( 12 x + 3 ) ( x + 5 )$
B) $( 6 x + 5 ) ( 2 x + 3 )$
C) $( 12 x - 3 ) ( x - 5 )$
D) $( 6 x - 5 ) ( 2 x - 3 )$

Question

Quizplus · Accepted Answer

The common factor of $2x$ and $-3$ is $-1$. The common factor of $(6x-5)$ and $(6x-5)$ is $(6x-5)$. Factoring out $-1$ from the first term, we get $-2x(6x-5)$. Therefore, our expression becomes $-2x(6x-5) + (-1)(6x-5)$. Factoring out $(6x-5)$, we get $(6x-5)(-2x-1)$ which is equivalent to $(6x-5)(2x+3)$ after distributing the negative. Thus, the answer is $	extbf{(D)}\ (6 x - 5 ) ( 2 x - 3 )$.

Factor the GCF Out of the Given Expression 2x(6x−5)−3(6x−5)2 x ( 6 x - 5 ) - 3 ( 6 x - 5 )2x(6x−5)−3(6x−5)

Factor the GCF Out of the Given Expression $2 x ( 6 x - 5 ) - 3 ( 6 x - 5 )$