What is the result of simplifying the expression 9m - 3m + 5n - 2n?

What is the result of simplifying the expression 9m - 3m + 5n - 2n?

• A. 9m + 3n
• B. 3m + 2n
• C. 6m + 3n
• D. 6m - 3n

Answer: (C)

To find the result of simplifying the expression \(9m - 3m + 5n - 2n\), we will combine like terms. Like terms are terms that contain the same variable raised to the same power. First, let's group the \(m\) terms together and the \(n\) terms together: - For the \(m\) terms: \(9m - 3m\) - For the \(n\) terms: \(5n - 2n\) Now, we simplify each group: 1. **Simplifying the \(m\) terms:** \[ 9m - 3m = (9 - 3)m = 6m \] 2. **Simplifying the \(n\) terms:** \[ 5n - 2n = (5 - 2)n = 3n \] Finally, we combine the simplified \(m\) and \(n\) terms: \[ 6m + 3n \] Thus, the final simplified expression is \(6m + 3n\), which corresponds with the choice indicated. This makes the option valid and confirms the correct simplification process

To find the result of simplifying the expression (9m - 3m + 5n - 2n), we will combine like terms. Like terms are terms that contain the same variable raised to the same power.

First, let's group the (m) terms together and the (n) terms together:

• For the (m) terms: (9m - 3m)

• For the (n) terms: (5n - 2n)

Now, we simplify each group:

1. Simplifying the (m) terms:

[

9m - 3m = (9 - 3)m = 6m

]

2. Simplifying the (n) terms:

[

5n - 2n = (5 - 2)n = 3n

]

Finally, we combine the simplified (m) and (n) terms:

[

6m + 3n

]

Thus, the final simplified expression is (6m + 3n), which corresponds with the choice indicated. This makes the option valid and confirms the correct simplification process