Factor out the largest possible common factor.
-$18 x ^ { 2 } + 24 x y + 15 x y + 20 y ^ { 2 }$
A) $( 6 x + 5 ) ( 3 x + 4 )$
B) $( 6 x + 5 y ) ( 3 x + 4 y )$
C) $( 18 x + 5 y ) ( x + 4 y )$
D) $( 6 x - 5 y ) ( 3 x + 4 y )$

Question

Quizplus · Accepted Answer

The expression can be factored by grouping: $18x^2 + 24xy$ can be grouped together, and $15xy + 20y^2$ can be grouped together. Factoring out the common factor from each group gives $6x(3x + 4y) + 5y(3x + 4y)$, which can then be factored into $(6x + 5y)(3x + 4y)$.

Factor Out the Largest Possible Common Factor 18x2+24xy+15xy+20y218 x ^ { 2 } + 24 x y + 15 x y + 20 y ^ { 2 }18x2+24xy+15xy+20y2

Factor Out the Largest Possible Common Factor $18 x ^ { 2 } + 24 x y + 15 x y + 20 y ^ { 2 }$