Factor out the GCF. $7 q ( 6 q + 5 ) + 9 ( 6 q + 5 )$
A) $( 7 q + 5 ) ( 6 q + 9 )$
B) $( 7 q - 9 ) ( 6 q + 5 )$
C) $6 q + 5$
D) $( 7 q + 9 ) ( 6 q + 5 )$

Question

Quizplus · Accepted Answer

The GCF (Greatest Common Factor) here is the binomial $6q + 5$, which is common to both terms in the expression. Factoring it out, we are left with $7q$ from the first term and $+9$ from the second term, making the factored form $(6q + 5)(7q + 9)$.

Factor Out the GCF 7q(6q+5)+9(6q+5)7 q ( 6 q + 5 ) + 9 ( 6 q + 5 )7q(6q+5)+9(6q+5)

Factor Out the GCF $7 q ( 6 q + 5 ) + 9 ( 6 q + 5 )$