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

Question

Quizplus · Accepted Answer

First, combine like terms: $15x^2 + 38xy + 24y^2$. The greatest common factor is 1, so factoring by grouping or patterns doesn't simplify further. However, recognizing it as a trinomial that can be factored into two binomials, we get $(3x + 4y)(5x + 6y)$.

Factor Out the Greatest Common Factor 15x2+18xy+20xy+24y215 x ^ { 2 } + 18 x y + 20 x y + 24 y ^ { 2 }15x2+18xy+20xy+24y2

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