Question

add the expressions
Expression 1: -3k+4K^3-2
Expression 2: 9k^2-3k^3

Answer 1

To add the two expressions, we'll combine like terms.

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

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

Now, let's write them together:

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

Next, we can rearrange the expression by grouping the like terms:

- \(4k^3 - 3k^3\) (cubic terms)
- \(9k^2\) (quadratic term)
- \(-3k\) (linear term)
- \(-2\) (constant term)

Now, let's combine them:

1. \(4k^3 - 3k^3 = 1k^3\) or \(k^3\)
2. \(9k^2\) remains as is.
3. \(-3k\) remains as is.
4. \(-2\) remains as is.

Now put it all together:

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

So, the result of adding the two expressions is:

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