Factor the following perfect square trinomial. $$a ^ { 2 } + 6 a + 9$$
A) $( a - 3 ) ^ { 2 }$
B) $( a + 2 ) ^ { 2 }$
C) $( a + 6 ) ^ { 2 }$
D) $( a + 3 ) ^ { 2 }$
E)none of these

Question

Quizplus · Accepted Answer

We can recognize that this trinomial is in the form $(a+b)^2=a^2+2ab+b^2$, where $b=3$. Thus, we have $$(a+3)^2=a^2+2\cdot a\cdot 3+3^2=a^2+6a+9$$ and the answer is $\boxed{\text{(D)}}$.

Factor the Following Perfect Square Trinomial a2+6a+9a ^ { 2 } + 6 a + 9a2+6a+9

Factor the Following Perfect Square Trinomial $a ^ { 2 } + 6 a + 9$