00:01
We're being asked to factor the given trinomial 36x squared minus 60x plus 25.
00:06
Now, the first thing we should do is look for a greatest common factor, but there is one.
00:11
Now, if you notice, both of our first and last terms are both perfect squares.
00:16
So i'm thinking this might be a perfect square trinomial.
00:19
So if it is, it would be in this form.
00:21
It would be a x squared plus 2ab, or sorry, i should say, it should be a squared.
00:29
I'm getting ahead of myself here.
00:30
So a squared plus 2ab plus b squared.
00:35
Or it could be in this particular case, a squared minus 2ab plus b squared.
00:41
So let's see if this will actually work out...