Question

What is the factorization of the expression below?

Answer 1

Answer: D. (x-6)(x-6)

Step-by-step explanation:

We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:

$x^{2}-12x+36$  (1)

First term:$x^{2}$  

Third term:$36=6^{2}$  

If we factorize this expression we have:

$(x-6)(x-6)=x^{2}-6x-6x+36=x^{2}-12x+36$

As we can see, the trinomial (1) has two factors:

$(x-6)$ and $(x-6)$

Therefore, the correct option is D.