Factor.
-$36 x^{2}+48 x y+16 y^{2}$
A) $4\left(9 x^{2}+12 x y+4 y\right)$
B) $4(3 x+2 y)^{2}$
C) $4(3 x-2 y)(3 x+2 y)$
D) $(12 x+8 y)(3 x+2 y)$

Name: Factor. -$36 x^{2}+48 x y+16 y^{2}$ A) $4\left(9 x^{2}+12 x y+4 y\right)$ B) $4(3 x+2 y)^{2}$ C) $4(3 x-2 y)(3 x+2 y)$ D) $(12 x+8 y)(3 x+2 y)$
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Question

Quizplus · Accepted Answer

This expression is a perfect square trinomial, factoring into $4(3x+2y)^2$, because $(3x+2y)^2 = 9x^2 + 12xy + 4y^2$, and multiplying by 4 gives the original expression.

Factor - 36x2+48xy+16y236 x^{2}+48 x y+16 y^{2}36x2+48xy+16y2 A) 4(9x2+12xy+4y)4\left(9 x^{2}+12 x y+4 y\right)4(9x2+12xy+4y)

Factor
- $36 x^{2}+48 x y+16 y^{2}$ A) $4\left(9 x^{2}+12 x y+4 y\right)$