From the January 2016 Common Core Algebra I Regents

Read this question carefully: How much is 2 subtracted from 10? 10-2

Apply that to the problem above and we need to do:

5x^2 – (2x – 3)^2

We will need to FOIL (or double distribute) the (2x – 3)^2

(2x – 3) (2x – 3)

F: (2x)(2x) = 4x^2

O: (-3)(2x) = -6x

I: (-3)(2x) = -6x

L: (-3)(-3) = 9

combine the like terms of -6x and -6x for -12x

4x^2 -12x +9 and subtract it from 5x^2 so it really looks like this:

5x^2 – (4x^2 – 12x +9) and the negative is distributed in the next line

5x^2 – 4x^2 + 12x – 9 then combine like terms and you have

x^2 + 12x – 9

match this up carefully — the answers look super similar

We could also use the TI-84 with Y1 for the original and Y2 for the answer choices

see below for answer choice (1) this is NOT a match as the tables list different y values for the same x values and there are clearly 2 different graphs (red and blue)

Let’s try answer choice (2) see below also NOT matching up as the tables list different y values for the same x values and there are clearly 2 different graphs (red and blue)

ok onto answer choice (3) and look at the table for same values in Y1 and Y2!!!

Unfortunately the TI-84 graph does not show the overlap of Y1 and Y2 in answer choice 3 but at least we do not see e can see that there are not 2 different functions being graphed