Question

t^2+12tp+36p^2

Answer 1

What do you need to do? factor?

Answer 2

I think so....

Answer 3

Look at this pattern:
a^2 + 2ab + b^2 = (a + b)^2

Answer 4

In my pattern, look at the left side.
The first term is a^2. That is the square of the a of the right side.
Again on the left side.
The last term is b^2. That is the square of the b of the right side.
Now look at the middle term of the left side, 2ab. That is 2 times the a times the b (a and b of the right side).

Now look at your trinomial:
The first term is t^2 which is the square of t
The third term is 36p^2 which is the square of 6p
The middle term is 12tp which is 2 times t times 6p
This fits in exactly with the patterns I gave you, so
t^2 + 12tp + 36p^2 = (t + 6p)^2
This is called the square of a sum trinomial.

Answer 5

Dang thats a lot!! but i get it(: Thank you(:

Answer 6

You're welcome.