Factor the trinomial completely.
- $81 y ^ { 2 } + 18 x y + x ^ { 2 }$
A) $( x + 9 y ) ( x - 9 y )$
B) $( x - 9 y ) ^ { 2 }$
C) $( x + 9 y ) ^ { 2 }$
D)prime

Question

Quizplus · Accepted Answer

The trinomial $81y^2 + 18xy + x^2$ can be rewritten as $(9y)^2 + 2(9y)(x) + x^2$, which is a perfect square trinomial of the form $(a + b)^2$, where $a = 9y$ and $b = x$. Therefore, it factors to $(x + 9y)^2$.

Factor the Trinomial Completely 81y2+18xy+x281 y ^ { 2 } + 18 x y + x ^ { 2 }81y2+18xy+x2

Factor the Trinomial Completely $81 y ^ { 2 } + 18 x y + x ^ { 2 }$