Question

I had the expressions expression 1 -3k + 4K cubed - 2 expression 2 9k squared - 3K cubed + 4K - 3

Answer 1

To combine the expressions you provided, let's first rewrite them clearly. You have:

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

This simplifies to:
\[
-3k + 4k^3 - 1
\]
(rearranging gives \(4k^3 - 3k - 1\)).

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

Now, let's combine Expression 1 and Expression 2. Here are both expressions written together:

\[
(4k^3 - 3k - 1) + (9k^2 - 3k^3 + 4k - 3)
\]

Next, we will combine like terms:

1. \(4k^3 - 3k^3 = (4 - 3)k^3 = 1k^3\) or simply \(k^3\)
2. \(-3k + 4k = (4 - 3)k = 1k\) or simply \(k\)
3. The constant terms: \(-1 - 3 = -4\)
4. The \(9k^2\) term remains as is.

Putting it all together, we have:
\[
k^3 + 9k^2 + k - 4
\]

So, the final result of combining both expressions is:
\[
k^3 + 9k^2 + k - 4
\]