Q:

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

Accepted Solution

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

FOIL stands for First, Outside, Inside, Last.Β 

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

First: Means first terms of each set. In this case 6x and 6x
6x x 6x =Β [tex] 36x^{2} [/tex] 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 = -4Β  This is your last term

Now you have what you need for your new equation:

[tex] 36x^{2} + 12x -12x - 4 [/tex]

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:

[tex]36 x^{2} - 4 [/tex] This is your product