Factor by grouping.
-$$12 x ^ { 2 } - 20 x y + 15 x y - 25 y ^ { 2 }$$
A) $( 4 x + 5 ) ( 3 x - 5 )$
B) $( 4 x + 5 y ) ( 3 x - 5 y )$
C) $( 12 x + 5 y ) ( x - 5 y )$
D) $( 4 x - 5 y ) ( 3 x - 5 y )$

Question

Quizplus · Accepted Answer

First, group the terms: $(12x^2 - 20xy) + (15xy - 25y^2)$. Factoring out the common factors gives: $4x(3x - 5y) + 5y(3x - 5y)$. Then, factor out the common binomial factor: $(4x + 5y)(3x - 5y)$, which matches choice B.

Factor by Grouping 12x2−20xy+15xy−25y212 x ^ { 2 } - 20 x y + 15 x y - 25 y ^ { 2 }12x2−20xy+15xy−25y2

Factor by Grouping $12 x ^ { 2 } - 20 x y + 15 x y - 25 y ^ { 2 }$