Combine the following: 6xy + 4xy - 3x + 2y. What is the result?

• A. 10xy - 3x + 2y
• B. 8xy - 3x + 2y
• C. 6xy - 3x + 2y
• D. 10xy + 2y

Answer: (A)

To combine the terms in the expression 6xy + 4xy - 3x + 2y, we start by identifying the like terms.

First, we have two terms that contain the variable xy: 6xy and 4xy. When combining these terms, we simply add their coefficients:

6 + 4 = 10

Thus, the combined term for xy becomes 10xy.

Next, we look at the other terms: -3x and 2y. These terms are not like terms with xy, as they have different variable components. Therefore, they remain unchanged.

Putting it all together, the resulting expression after combining like terms is 10xy - 3x + 2y.

The option that reflects this correct result is the first choice. This choice accurately represents the sum of like terms and the unchanged individual terms, demonstrating a proper understanding of how to combine like terms within an algebraic expression.