Question

Show work.
Simplify to write an equivalent expression.
14+6x^2+9x-2x^2

Answer 1

To simplify the expression \(14 + 6x^2 + 9x - 2x^2\), we will combine like terms.

1. Identify the like terms:
- The \(x^2\) terms: \(6x^2\) and \(-2x^2\)
- The \(x\) term: \(9x\)
- The constant term: \(14\)

2. Combine the \(x^2\) terms:
\[
6x^2 - 2x^2 = (6 - 2)x^2 = 4x^2
\]

3. The \(x\) term remains the same:
\[
9x
\]

4. The constant term also remains the same:
\[
14
\]

5. Now, combine all the simplified terms:
\[
4x^2 + 9x + 14
\]

Therefore, the simplified expression is:
\[
\boxed{4x^2 + 9x + 14}
\]