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