Question

Add the expressions.
Expression 1: -3k+4k³-2
Expression 2: 9k²-3k³+4k-3

□k³+□k²+□k+□

Answer 1

The last one is k*+*□
What would be in the box?

Answer 2

To add the expressions \( -3k + 4k^3 - 2 \) and \( 9k^2 - 3k^3 + 4k - 3 \), we will combine like terms.

### Step 1: Write the expressions

**Expression 1:**
\[
-3k + 4k^3 - 2
\]

**Expression 2:**
\[
9k^2 - 3k^3 + 4k - 3
\]

### Step 2: Combine like terms

Now we group and combine the terms based on their degree (i.e., \( k^3 \), \( k^2 \), and \( k \)):
- \( k^3 \) terms:
\[
4k^3 - 3k^3 = (4 - 3)k^3 = 1k^3
\]

- \( k^2 \) terms:
\[
0 + 9k^2 = 9k^2
\]

- \( k \) terms:
\[
-3k + 4k = (-3 + 4)k = 1k
\]

- Constant terms:
\[
-2 - 3 = -5
\]

### Step 3: Write the final result

Combining all of these results, we have:

\[
1k^3 + 9k^2 + 1k - 5
\]

Thus, we can fill in the blanks as follows:

\[
1k^3 + 9k^2 + 1k - 5
\]

So the final answer is:

\[
\boxed{1k^3 + 9k^2 + 1k - 5}
\]