Factor by grouping.
-$18 x ^ { 2 } + 15 x y + 24 x y + 20 y ^ { 2 }$
A) $( 3 x + 4 ) ( 6 x + 5 )$
B) $( 3 x - 4 y ) ( 6 x + 5 y )$
C) $( 18 x + 4 y ) ( x + 5 y )$
D) $( 3 x + 4 y ) ( 6 x + 5 y )$

Question

Quizplus · Accepted Answer

To factor by grouping, we first group the terms: $18x^2 + 15xy$ and $24xy + 20y^2$. Factoring out the greatest common factor from each group gives us $3x(6x + 5y) + 4y(6x + 5y)$. This can be further factored into $(3x + 4y)(6x + 5y)$, which matches option D.

Factor by Grouping 18x2+15xy+24xy+20y218 x ^ { 2 } + 15 x y + 24 x y + 20 y ^ { 2 }18x2+15xy+24xy+20y2

Factor by Grouping $18 x ^ { 2 } + 15 x y + 24 x y + 20 y ^ { 2 }$