Question

9x^2-4
F.(3x + 2)(3x - 2)
G.(3x + 2)2
H. (3x - 2)2
J.prime

Answer 1

9514 1404 393

Answer:

F. (3x +2)(3x -2)

Explanation:

The given expression is the difference of two squares, so can be factored accordingly.

9x^2 -4 = (3x)^2 -2^2 = (3x +2)(3x -2) . . . . . matches F

Answer 2

Explanation:

I'm not entirely sure what the question is, but I suspect the answer is not prime.

9x^2 - 4

factors into two factors (3x + 2)(3x - 2)

Suppose x = 11 which is prime.

9*121 - 4

1085 which ends in a 5 so the expression is not prime.

In fact, the two factors are 3*11 + 2 = 35 and 3*11 - 2 = 31

31*35 = 1085