If the expression is 6xy + 2xy - 4xy, what is the final result?

If the expression is 6xy + 2xy - 4xy, what is the final result?

• A. 4xy
• B. 8xy
• C. 0
• D. 2xy

Answer: (A)

To simplify the expression \(6xy + 2xy - 4xy\), we start by identifying and combining like terms. Like terms are terms that contain the same variable components. In this case, all the terms \(6xy\), \(2xy\), and \(-4xy\) contain the term \(xy\). We first combine the coefficients of the like terms: 1. Start with the first term: \(6xy\). 2. Add the second term: \(2xy\). This gives \(6xy + 2xy = 8xy\). 3. Now subtract the third term: \(-4xy\). So, \(8xy - 4xy = 4xy\). The final result after combining these terms is \(4xy\). This clearly shows that we added and subtracted the coefficients correctly within the same variable framework. Therefore, the correct answer reflects the sum of the coefficients applied to the common variable term \(xy\).

To simplify the expression (6xy + 2xy - 4xy), we start by identifying and combining like terms. Like terms are terms that contain the same variable components. In this case, all the terms (6xy), (2xy), and (-4xy) contain the term (xy).

We first combine the coefficients of the like terms:

1. Start with the first term: (6xy).

2. Add the second term: (2xy). This gives (6xy + 2xy = 8xy).

3. Now subtract the third term: (-4xy). So, (8xy - 4xy = 4xy).

The final result after combining these terms is (4xy). This clearly shows that we added and subtracted the coefficients correctly within the same variable framework. Therefore, the correct answer reflects the sum of the coefficients applied to the common variable term (xy).