Factor out the greatest common factor. Simplify the factors, if possible.
-$7 \mathrm {~m} ( 9 - \mathrm { m } ) + 3 \mathrm { n } ( 9 - \mathrm { m } )$
A) $7 ( \mathrm {~m} + \mathrm { n } ) ( 9 - \mathrm { m } )$
B) $( 7 m + 3 n ) ( 9 - m )$
C) $m ( 7 + 3 n ) ( 9 - m )$
D) $( 7 m - 3 n ) ( 9 - m )$

Question

Quizplus · Accepted Answer

The greatest common factor between the two terms is $(9 - m)$, so factoring it out gives $(7m + 3n)(9 - m)$.

Factor Out the Greatest Common Factor 7 m(9−m)+3n(9−m)7 \mathrm {~m} ( 9 - \mathrm { m } ) + 3 \mathrm { n } ( 9 - \mathrm { m } )7 m(9−m)+3n(9−m)

Factor Out the Greatest Common Factor $7 \mathrm {~m} ( 9 - \mathrm { m } ) + 3 \mathrm { n } ( 9 - \mathrm { m } )$