Add the expressions. Expression 1: −3k+4k3−2 Expression 2: 9k2−3k3+4k−3 (2 points) k3+ k2+ k+

To add the two expressions, we'll first write them down clearly:

**Expression 1:** \(-3k + 4k^3 - 2\)

**Expression 2:** \(9k^2 - 3k^3 + 4k - 3\)

Now, let's add the two expressions together. We will combine like terms:

1. **Combine the \(k^3\) terms:**
- From Expression 1: \(4k^3\)
- From Expression 2: \(-3k^3\)
- Combined: \(4k^3 - 3k^3 = 1k^3\) or just \(k^3\)

2. **Combine the \(k^2\) terms:**
- Expression 1: There are no \(k^2\) terms.
- Expression 2: \(9k^2\)
- Combined: \(0 + 9k^2 = 9k^2\)

3. **Combine the \(k\) terms:**
- From Expression 1: \(-3k\)
- From Expression 2: \(4k\)
- Combined: \(-3k + 4k = 1k\) or just \(k\)

4. **Combine the constant terms:**
- From Expression 1: \(-2\)
- From Expression 2: \(-3\)
- Combined: \(-2 - 3 = -5\)

Now, putting everything together, we have:
\[
k^3 + 9k^2 + k - 5
\]

Thus, the final result of adding the two expressions is:
\[
\boxed{k^3 + 9k^2 + k - 5}
\]