Combine like terms: 8m - 3m + 4n - 2n.

Combine like terms: 8m - 3m + 4n - 2n.

• A. 5m - 2n
• B. 2m + 2n
• C. 5m + 2n
• D. 10m + 2n

Answer: (C)

To combine like terms in the expression 8m - 3m + 4n - 2n, start by identifying which terms can be combined. Like terms are terms that contain the same variable raised to the same power. 1. For the terms with 'm': - You have 8m and -3m. When you combine these, you subtract 3 from 8: 8m - 3m = 5m. 2. Next, look at the terms with 'n': - You have 4n and -2n. Similarly, you combine these by subtracting 2 from 4: 4n - 2n = 2n. Now, you can put the combined terms together. You have 5m from combining the 'm' terms and 2n from combining the 'n' terms, resulting in the expression: 5m + 2n. This expression corresponds to the correct answer, which includes both the coefficient of 'm' and the coefficient of 'n' accurately reflected after the combination process.

To combine like terms in the expression 8m - 3m + 4n - 2n, start by identifying which terms can be combined. Like terms are terms that contain the same variable raised to the same power.

1. For the terms with 'm':

• You have 8m and -3m. When you combine these, you subtract 3 from 8:

8m - 3m = 5m.

2. Next, look at the terms with 'n':

• You have 4n and -2n. Similarly, you combine these by subtracting 2 from 4:

4n - 2n = 2n.

Now, you can put the combined terms together. You have 5m from combining the 'm' terms and 2n from combining the 'n' terms, resulting in the expression:

5m + 2n.

This expression corresponds to the correct answer, which includes both the coefficient of 'm' and the coefficient of 'n' accurately reflected after the combination process.