4d(2d - 9)

explain

To expand the expression 4d(2d - 9):

1. Distribute the 4 to both terms inside the parentheses:
4d(2d - 9) = 8d^2 - 36d

Final Answer: 8d^2 - 36d

To simplify the expression 4d(2d - 9), we need to use the distributive property. This property states that when a number is multiplied by a sum or difference, you can distribute the number to each term inside the parentheses.

First, distribute the 4d to both terms inside the parentheses:

4d * 2d = 8d^2
4d * (-9) = -36d

So, the expression becomes:

8d^2 - 36d