Question

What is the correct result of the following distribution?

9(m + 5) - 3(m - 2) =
A) 9m + 4
B) 9m + 45
C) 3m - 6
D) -3m + 6
E) -3m - 5

Answer 1

The correct result of the distribution is 6m + 51.

Step-by-step explanation:

To distribute the expression 9(m + 5) - 3(m - 2), we must apply the distributive property.

First, we distribute the 9 to both terms inside the parentheses: 9 * m + 9 * 5

This simplifies to 9m + 45

Then, we distribute the -3 to both terms inside the second set of parentheses: -3 * m + -3 * -2

This simplifies to -3m + 6

Finally, we combine like terms to get the final result: 9m + 45 - 3m + 6

Combining like terms, we have 6m + 51

Therefore, the correct result of the distribution is 6m + 51.