To simplify the given expression [tex]\(6x^2 - 8 - 2x\)[/tex], we’ll follow these steps:
1. Identify like terms: We need to check if there are any like terms that we can combine. In this case, the terms are:
- [tex]\(6x^2\)[/tex]: The quadratic term in [tex]\(x\)[/tex].
- [tex]\(-2x\)[/tex]: The linear term in [tex]\(x\)[/tex].
- [tex]\(-8\)[/tex]: The constant term.
2. Rearrange the terms: Typically, in polynomial expressions, we write the terms starting from the highest power of [tex]\(x\)[/tex] to the lowest. Our expression is already in this format:
[tex]\[
6x^2 - 2x - 8
\][/tex]
3. Combine like terms, if any: There are no like terms to combine further, so the expression remains:
[tex]\[
6x^2 - 2x - 8
\][/tex]
Thus, the simplified form of the expression [tex]\(6x^2 - 8 - 2x\)[/tex] is:
[tex]\[
6x^2 - 2x - 8
\][/tex]
