Answer:
(x+6)2
Step-by-step explanation:1
What two numbers sum up to the middle term (6), and have a product of the last term (36)?
After some trial and error, we arrive at 6 and 6, which means we can factor this as
(x+6)(x+6) or (x+6)2
Another way we could have approached this is that we see that the leading term and the last term are both perfect squares.
With this in mind, we could rewrite the expression as
(x)2+12x+(6)2
Now, it becomes a little more clearer that we can factor this as
(x+6)2