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

Question

Quizplus · Accepted Answer

The correct factorization of $12x^2 - 25xy + 12y^2$ is obtained by finding two numbers that multiply to $12 \times 12 = 144$ and add to $-25$. These numbers are $-3$ and $-4$, which can be used to factor by grouping. Thus, the correct factorization is $(3x - 4y)(4x - 3y)$.

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

Factor
- $12 x ^ { 2 } - 25 x y + 12 y ^ { 2 }$