# Factor an Equation HELP

• January 12th 2013, 02:28 PM
sy416
Factor an Equation HELP
I have several that look like this that I need to factor. I just need to a walk-through of this please! Where do I start?

9y2 - 4x2 - 4x - 1
• January 12th 2013, 02:32 PM
topsquark
Re: Factor an Equation HELP
Quote:

Originally Posted by sy416
I have several that look like this that I need to factor. I just need to a walk-through of this please! Where do I start?

9y2 - 4x2 - 4x - 1

First take a look at the x terms. You pretty much have to recognize $-4x^2 - 4x - 1 = -(2x + 1)^2$. I can't think of any way to know how to do this aside from experience. (I first noted that 9y^2 is a perfect square. Start these by looking for something like that.) So your problem becomes:
$9y^2 - 4x^2 - 4x - 1 = 9y^2 - (2x + 1)^2$

Look at the RHS. It is the difference of two squares. What can you do with that?

-Dan
• January 12th 2013, 02:39 PM
sy416
Re: Factor an Equation HELP
Thanks!