Factor completely.
-$$x ^ { 2 } + 6 x y + 9 y ^ { 2 }$$
A) Prime
B) $( x + 3 y ) ( x - 3 y )$
C) $( x + 3 y ) ^ { 2 }$
D) $( x - 3 y ) ^ { 2 }$

Name: Factor completely. -\[x ^ { 2 } + 6 x y + 9 y ^ { 2 }\] A) Prime B) $( x + 3 y ) ( x - 3 y )$ C) $( x + 3 y ) ^ { 2 }$ D) $( x - 3 y ) ^ { 2 }$
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Question

Quizplus · Accepted Answer

This trinomial is a perfect square trinomial of the form $(a + b) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ where $a = x$ and $b = 3y$. Thus, we can write $x ^ { 2 } + 6 x y + 9 y ^ { 2 }$ as $(x + 3y)^2$.

Factor Completely x2+6xy+9y2x ^ { 2 } + 6 x y + 9 y ^ { 2 }x2+6xy+9y2

Factor Completely $x ^ { 2 } + 6 x y + 9 y ^ { 2 }$