Simplify the expression: (3x² + 2x) - (x² - x).

Simplify the expression: (3x² + 2x) - (x² - x).

• A. x² + 3x
• B. 2x² + 2x
• C. 2x² + 3x
• D. 3x² + x

Answer: (C)

To simplify the expression (3x² + 2x) - (x² - x), start by distributing the negative sign across the second set of parentheses. This changes the expression to: 3x² + 2x - x² + x. Next, combine like terms. First, look at the x² terms: you have 3x² from the first part and -x² from the second part. This results in: 3x² - x² = 2x². Now, look at the x terms: you have 2x from the first part and +x from the second part. This results in: 2x + x = 3x. Combining these results, the simplified expression becomes: 2x² + 3x. Thus, this choice accurately captures the final result due to the proper application of distributing the negative sign and combining like terms, leading to the expression being correctly simplified.

To simplify the expression (3x² + 2x) - (x² - x), start by distributing the negative sign across the second set of parentheses. This changes the expression to:

3x² + 2x - x² + x.

Next, combine like terms. First, look at the x² terms: you have 3x² from the first part and -x² from the second part. This results in:

3x² - x² = 2x².

Now, look at the x terms: you have 2x from the first part and +x from the second part. This results in:

2x + x = 3x.

Combining these results, the simplified expression becomes:

2x² + 3x.

Thus, this choice accurately captures the final result due to the proper application of distributing the negative sign and combining like terms, leading to the expression being correctly simplified.