If you have the expression 4m + 9n - 4m + 2n, what do you get after combining like terms?

If you have the expression 4m + 9n - 4m + 2n, what do you get after combining like terms?

• A. 11n
• B. 3n
• C. 0
• D. 6n

Answer: (D)

To simplify the expression 4m + 9n - 4m + 2n, it's important to identify and combine the like terms carefully. First, consider the terms involving the variable \( m \). You have \( 4m - 4m \). When these are combined, they cancel each other out, resulting in \( 0m \) or simply \( 0 \). Next, look at the terms involving the variable \( n \). You have \( 9n + 2n \). When these are combined, you add the coefficients together: \( 9 + 2 = 11 \). Therefore, you end up with \( 11n \). When you put this all together, the expression simplifies to \( 0 + 11n \), which is simply \( 11n \). Given this, the correct answer is \( 11n \). This shows the importance of combining like terms by both identifying and grouping terms that share the same variable, resulting in a clear and simplified expression.

To simplify the expression 4m + 9n - 4m + 2n, it's important to identify and combine the like terms carefully.

First, consider the terms involving the variable ( m ). You have ( 4m - 4m ). When these are combined, they cancel each other out, resulting in ( 0m ) or simply ( 0 ).

Next, look at the terms involving the variable ( n ). You have ( 9n + 2n ). When these are combined, you add the coefficients together: ( 9 + 2 = 11 ). Therefore, you end up with ( 11n ).

When you put this all together, the expression simplifies to ( 0 + 11n ), which is simply ( 11n ).

Given this, the correct answer is ( 11n ). This shows the importance of combining like terms by both identifying and grouping terms that share the same variable, resulting in a clear and simplified expression.