Factor.
-$9 x ^ { 2 } - 18 x y + 8 y ^ { 2 }$
A) $( 3 x - 2 y ) ( 3 x - 4 y )$
B) $( 3 x + 2 y ) ( 3 x - 4 y )$
C) $( 3 x + 2 y ) ( 3 x + 4 y )$
D) $( 9 x + 2 y ) ( x + 4 y )$

Question

Quizplus · Accepted Answer

The correct factorization of $9x^2 - 18xy + 8y^2$ is $(3x - 2y)(3x - 4y)$. This can be determined by finding two numbers that multiply to $9x^2 \times 8y^2 = 72x^2y^2$ and add to the middle term coefficient, $-18xy$. These numbers are $-6xy$ and $-12xy$, which correspond to the factors $(3x - 2y)$ and $(3x - 4y)$.

Factor - 9x2−18xy+8y29 x ^ { 2 } - 18 x y + 8 y ^ { 2 }9x2−18xy+8y2

Factor
- $9 x ^ { 2 } - 18 x y + 8 y ^ { 2 }$