Question

11. Determine the product of (-4c + 3d)(-4c - 3d).

A.
16c² - 9d²



B.
-16c² - 9d²



C.
-16c² + 9d²



D.
16c² - 24cd - 9d²

Answer 1

The answer is 16
`c^{2]` -
`9d^(2)`, or A.

We can solve this problem by easily by factoring. Right off the bat, we can see that this is the difference of 2 squares. The difference of two square's factored form is (a+b)(a-b), which is what this equation is in right now. But, if we want the unfactored form, then we need to do
`a^(2) - b^(2)`, with a being -4c and b being 3d. -4c squares. Simplifying those values, we get 16
`c^{2]` -
`9d^(2)`, which is the same as A.