(4k-9)(2k-2)
First you're going to want to multiply the 4k by the 2k & the -2. Then you're going to want to multiply the -9 by the 2k and the -2.
(4k-9)(2k-2)
4k * 2k = 8k^2
4k * -2 = -8k
-9 * 2k = -18k
-9 * -2 = +18
Since we have like terms (-8k and -18k) put those together.
-8k + -18k = -26k.
Now you're going to want to put all of these together in an equation.
You want to order the numbers from the highest number of exponents (8k^2) to the lowest.
8k^2 - 26k + 18
So the correct answer is 8k^2 - 26k + 18.