Respuesta :

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]