Answer:
[tex]3x^2 + 9x +9[/tex]
Step-by-step explanation:
Given
[tex](7x + 8 + 2x^2) + (2x + 1 + x^2)[/tex]
Required
The result in standard form
We have:
[tex](7x + 8 + 2x^2) + (2x + 1 + x^2)[/tex]
Remove brackets
[tex]7x + 8 + 2x^2 + 2x + 1 + x^2[/tex]
Collect like terms
[tex]7x+ 2x + 8 + 1 + 2x^2+ x^2[/tex]
[tex]9x + 9+ 3x^2[/tex]
The standard form of a quadratic equation is:
[tex]ax^2 + bx + c[/tex]
So, we have:
[tex]9x + 9+ 3x^2[/tex]
[tex]3x^2 + 9x +9[/tex]