Question

Must Show Work to Get Credit

2.

Simplify to write an equivalent expression.
Group Like Terms, don't
try to solve for x

(1 point)

14 +6x2 + 9x- 2x2

Answer 1

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

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

- The \( x \) term remains \( 9x \).

- The constant term remains \( 14 \).

3. Now we can rewrite the expression by putting the combined like terms together:

\[
14 + 4x^2 + 9x
\]

4. To express it in a standard form, we typically write the highest degree term first:

\[
4x^2 + 9x + 14
\]

Thus, the simplified equivalent expression is

\[
\boxed{4x^2 + 9x + 14}
\]