Verified Answer :

baseballboyg

I believe the answer is \(8x^{2}+2x+5\)

First thing's first:  Square both of the parentheses, I'm going to use the FOIL method, if you use a different method, go for it:

\((9x^{2}+6x+1)-(x^{2}-4x+4)\)

Now distribute the \(-\) to the second parentheses to make it a plus sign:

\(9x^{2}+6x+1-x^{2}+4x-4\)

Now combine like factors to simplify:

\(8x^{2}+10x-3\)

So that should be your final answer if I understand the question correctly.

All you do is FOIL the (3x+1)^2 and then FOIL the (x-2)^2. The only challenge here is that you have to multiply all the terms in the (x-2)^2 FOIL by -1 because its -(x-2)^2. Once you get all the terms from FOIL just simplify by combining like terms.

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