To simplify the expression [tex]\( 2 + 5z^2 + 10z + 1 \)[/tex], we should combine like terms. Here's the step-by-step process:
1. Identify Like Terms:
- [tex]\( 5z^2 \)[/tex] which is the term involving [tex]\( z \)[/tex] squared.
- [tex]\( 10z \)[/tex] which is the term involving [tex]\( z \)[/tex].
- [tex]\( 2 \)[/tex] and [tex]\( 1 \)[/tex] which are the constant terms.
2. Combine the Constants:
- Add the constant terms together: [tex]\( 2 + 1 \)[/tex].
This gives:
[tex]\[
2 + 1 = 3
\][/tex]
3. Rewrite the Expression:
- Replace [tex]\( 2 + 1 \)[/tex] with the combined constant 3 in the original expression.
The expression [tex]\( 2 + 5z^2 + 10z + 1 \)[/tex] then becomes:
[tex]\[
5z^2 + 10z + 3
\][/tex]
So, the simplified form of the expression [tex]\( 2 + 5z^2 + 10z + 1 \)[/tex] is:
[tex]\[
5z^2 + 10z + 3
\][/tex]
