SOLUTION: Fully Factor. 1. 3a^2-36a+36 2. 4(x-3)^2

SOLUTION: Fully Factor. 1. 3a^2-36a+36 2. 4(x-3)^2 - 9(x+4)^2 Help

Question 60905: Fully Factor.
1. 3a^2-36a+36
2. 4(x-3)^2 - 9(x+4)^2
Help
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!

Divide both sides by 3.
Then you get which doesn't factor any more.

Let A = and let B =
Then the expression is this:
Now, and
So, the expression becomes
This is a difference of two squares.
It's useful to recognize that factors to
So, our expression becomes
Now, plug in A = and B = into the expression.
You get
Multiply things out to get
Collect like terms and you get
It's nice to move the minus sign out of the equation.
The answer then is
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