Question

Simplify the expression:
2k+2+10k^2+3k+–7k+–8k

Answer 1

To simplify the expression \(2k + 2 + 10k^2 + 3k - 7k - 8k\), we will combine like terms.

1. Identify and group the like terms:
- The term \(10k^2\) is the only quadratic term (in \(k^2\)).
- The linear terms are \(2k\), \(3k\), \(-7k\), and \(-8k\).
- The constant term is \(2\).

2. Combine the linear terms:
\[
2k + 3k - 7k - 8k = (2 + 3 - 7 - 8)k = (-10)k = -10k
\]

3. Now, collect all the simplified terms:
\[
10k^2 - 10k + 2
\]

So, the simplified expression is:
\[
\boxed{10k^2 - 10k + 2}
\]