Respuesta :

Americ
=(3x2 + 2x + 4) - (x2 + 2x + 1)
Combine like terms
=(3x2-x2)+(2x-2x)+(4-1)
=2x2+0+3
The 2x terms cancel each other to 0
=2x2+3

C) 2x2+3 is the answer.

Hope this helps! :)

Answer:

[tex]2x^2+3[/tex]

C is the correct options.

Step-by-step explanation:

The given polynomial is

[tex](3x^2+2x+4)-(x^2+2x+1)[/tex]

Distribute the negative sign over the parenthesis

[tex]3x^2+2x+4-x^2-2x-1[/tex]

Now, group the like terms

[tex]3x^2-x^2+2x-2x+4-1[/tex]

Combine the like terms

[tex]2x^2+3[/tex]

Thus, the expression after subtracting the polynomials is  [tex]2x^2+3[/tex]

C is the correct options.