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Simplify the following expression: [tex]5x + 8 + 9x^2 - 7x - 6[/tex]

A. [tex]9x^2 + 2x + 14[/tex]
B. [tex]9x^2 - 2x + 2[/tex]
C. [tex]9x^2 + 12x + 2[/tex]
D. [tex]x^2 + 12x + 14[/tex]



Answer :

GinnyAnswer
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].

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