4d(2d-9)
A) 8d-36d
B) -d
C) -28d^2
D) 8d^2-36d
D) 8d^2-36d
To simplify the expression 4d(2d-9), we will distribute the 4d to both terms inside the parentheses.
First, distribute 4d to 2d:
4d * 2d = 8d^2
Then, distribute 4d to -9:
4d * -9 = -36d
Putting the terms together, the simplified expression is:
8d^2 - 36d
Therefore, the correct answer is D) 8d^2-36d.