To solve the expression [tex]\(\left(6x^2 - 2x\right) + (5x - 7)\)[/tex], we need to combine like terms, meaning we group and add or subtract terms that have the same variable raised to the same power.
1. Identify like terms:
- The term [tex]\(6x^2\)[/tex] has no other [tex]\(x^2\)[/tex] terms in the given expression, so it remains as is.
- The terms [tex]\(-2x\)[/tex] and [tex]\(5x\)[/tex] are both [tex]\(x\)[/tex]-terms, so they can be combined.
- Finally, the constant term is [tex]\(-7\)[/tex].
2. Combine [tex]\(x\)[/tex]-terms:
- Combine [tex]\(-2x + 5x\)[/tex]:
[tex]\[
-2x + 5x = 3x
\][/tex]
3. Combine constant terms:
- The only constant term is [tex]\(-7\)[/tex], so it remains as is.
4. Write the resulting expression:
- Combining all the parts together, we get:
[tex]\[
6x^2 + 3x - 7
\][/tex]
So, the correct answer is:
D. [tex]\(6x^2 + 3x - 7\)[/tex]
