Question

Choose the correct product of (6x − 2)(6x + 2). (1 point)

Choose the correct product of (6x − 2)(6x + 2). (1 point)

Answer 1

If you can't see the images here

36x2 − 4

Answer 2

You did not give any choices but this can easily be solved using the FOIL method.

FOIL stands for First, Outside, Inside, Last.

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter

First: Means first terms of each set. In this case 6x and 6x
6x x 6x =
`36x^(2)` Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4 This is your last term

Now you have what you need for your new equation:


`36x^(2) + 12x -12x - 4`

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:


`36 x^(2) - 4` This is your product