Factor the trinomial completely.
-$9 x ^ { 2 } + 24 x y + 16 y ^ { 2 }$
A) $( 3 x - 4 y ) ^ { 2 }$
B)(3x + 4y)(3x - 4y)
C)(9x + y)(x + 16y)
D) $( 3 x + 4 y ) ^ { 2 }$

Name: Factor the trinomial completely. -$9 x ^ { 2 } + 24 x y + 16 y ^ { 2 }$ A) $( 3 x - 4 y ) ^ { 2 }$ B)(3x + 4y)(3x - 4y) C)(9x + y)(x + 16y) D) $( 3 x + 4 y ) ^ { 2 }$
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Question

Quizplus · Accepted Answer

This trinomial is a perfect square trinomial, factoring into $(3x + 4y)^2$, since $(3x)^2 = 9x^2$, $2 \cdot 3x \cdot 4y = 24xy$, and $(4y)^2 = 16y^2$.

Factor the Trinomial Completely 9x2+24xy+16y29 x ^ { 2 } + 24 x y + 16 y ^ { 2 }9x2+24xy+16y2

Factor the Trinomial Completely $9 x ^ { 2 } + 24 x y + 16 y ^ { 2 }$