Is the Trinomial a Perfect Square? Yes. Factored Expression: (a+6)^2
Practice makes perfect
To determine if an expression is a perfect square trinomial, we need to ask ourselves three questions.
Is the first term a perfect square?
a^2 = a^2 âś“
Is the last term a perfect square?
36= 6^2 âś“
Is the middle term twice the product of 6 and a?
12a=2* 6* a âś“
As we can see, the answer to all three questions is yes! Therefore, we can write the trinomial as the square of a binomial. Note there is an addition sign in the middle.
a^2 + 12a + 36 ⇔ ( a+ 6)^2
