Question

Rewrite the following expression with the fewest terms possible: 2x - 5y + 6 - 3y + 2x.

A. 4x - 8y + 6
B. 4x - 8y
C. 2x - 8y + 6
D. 4x - 8y + 12

Answer 1

The expression 2x - 5y + 6 - 3y + 2x simplifies to 4x - 8y + 6 by combining like terms, which entails adding 2x to 2x and -5y to -3y, resulting in the answer A. 4x - 8y + 6.

Step-by-step explanation:

To rewrite the expression 2x - 5y + 6 - 3y + 2x with the fewest terms possible, we need to combine like terms. The like terms in the expression are the terms with the same variable and the constant terms. Here's the step-by-step process to simplify:

1. Combine the x terms: 2x + 2x = 4x.
2. Combine the y terms: -5y - 3y = -8y.
3. Combine the constant terms: 6 remains unchanged since it's the only constant term without a like term.

The simplified expression is 4x - 8y + 6. Therefore, the correct answer is A. 4x - 8y + 6.