What is the simplest form of 2x^2 + 3x - x^2 + 7?

What is the simplest form of 2x^2 + 3x - x^2 + 7?

• A. x^2 + 3x + 7
• B. 3x^2 + 10
• C. x^2 + 10
• D. 3x + 7

Answer: (A)

To simplify the expression (2x^2 + 3x - x^2 + 7), the goal is to combine like terms appropriately.

Firstly, identify the like terms in the expression:

1. The (x^2) terms: (2x^2) and (-x^2).

2. The (x) term: (3x).

3. The constant term: (7).

Now, combine the (x^2) terms:

[

2x^2 - x^2 = (2 - 1)x^2 = 1x^2 = x^2

]

Next, bring down the (x) term and the constant:

[

3x + 7

]

Putting it all together, you have:

[

x^2 + 3x + 7

]

This is the simplest form of the original expression. Hence, this choice is the correct answer because it accurately reflects the combination of the like terms in the expression.

Other choices do not represent this combination correctly. For instance, some options may incorrectly combine or misrepresent the coefficients, such as incorrectly omitting a term or failing to correctly