Question

Add the expressions.

Expression 1: −3k+4k3−2

Expression 2: 9k2−3k3+4k−3

(2 points)
k3+
k2+
k+


(ANSWER IN THE FORMAT WITH OUT CHANGING)

Answer 1

To add the two expressions, we will combine like terms for each power of k.

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

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

Now, let's group and combine like terms:

1. **For \(k^3\):**
\[
4k^3 - 3k^3 = 1k^3
\]

2. **For \(k^2\):**
\[
0 + 9k^2 = 9k^2
\]

3. **For \(k\):**
\[
-3k + 4k = 1k
\]

4. **For the constant term:**
\[
-2 - 3 = -5
\]

Now we can write the expression:

Final result:
\[
k^3 + 9k^2 + k - 5
\]

Putting it in the required format:

k3 + 9k2 + k - 5