4d(2d – 9)
A. 8d – 36d
B. –d
C. –28d2
D. 8d2 – 36d
The answer is D.
To simplify the expression, start by using the distributive property to multiply 4d by 2d and -9:
4d(2d - 9) = (4d * 2d) - (4d * 9)
= 8d^2 - 36d
Therefore, the answer is D, 8d^2 - 36d.
To simplify the expression 4d(2d - 9), you need to distribute the 4d to both terms inside the parenthesis.
Step 1: Distribute 4d to 2d:
4d * 2d = 8d^2
Step 2: Distribute 4d to -9:
4d * -9 = -36d
Therefore, the simplified expression is 8d^2 - 36d, which corresponds to option D.