To simplify the expression [tex]\(5x + 8 + 9x^2 - 7x - 6\)[/tex], we need to follow these steps:
1. Combine Like Terms:
Identify and group the like terms together:
[tex]\[
5x - 7x + 9x^2 + 8 - 6
\][/tex]
2. Simplify Each Group:
a. Simplify the terms involving [tex]\(x\)[/tex]:
[tex]\[
5x - 7x = -2x
\][/tex]
b. Simplify the constant terms:
[tex]\[
8 - 6 = 2
\][/tex]
c. The term [tex]\(9x^2\)[/tex] remains unchanged as it is the only term with [tex]\(x^2\)[/tex].
3. Combine the Simplified Terms:
Adding all these simplified parts together, we get:
[tex]\[
9x^2 - 2x + 2
\][/tex]
Thus, the simplified expression is:
[tex]\[
9x^2 - 2x + 2
\][/tex]
So, the correct choice from the given options is:
b [tex]\(\quad 9 x^2 - 2 x + 2\)[/tex].
