SOLUTION: Fully factor the following: 4a^2-(3a+1)^2 I believe that I need to use decomposition to answer this, but I can't understand how to approach it.

Question 106574: Fully factor the following:
4a^2-(3a+1)^2

I believe that I need to use decomposition to answer this, but I can't understand how to approach it.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Fully factor:
Do you recognise this as the difference of two squares?
The difference of two squares is factorable as follows:
In your problem, A = 2a while B = (3a+1), so...
Now simplfy this to get:

You can check this solution by multiplying these two factors to see if you get back the original expression. Let's try it using FOIL.
=
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