Is the Trinomial a Perfect Square? Yes. Factored Expression: (a-11)^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?
121= 11^2 âś“
Is the middle term twice the product of 11 and a?
22a=2* 11* 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 a subtraction sign in the middle.
a^2 - 22a + 121 ⇔ ( a- 11)^2
