Respuesta :
The correct answer is A, or x + 1
Just got it right on edge 2020, hope this helps!! :)
[tex]\dfrac{(x^3+1)}{(x^2-x+1)}=(x+1)[/tex]
Step-by-step explanation:
Given :
Dividend = [tex]x^3 +1[/tex]
Divisor = [tex]x^2-x +1[/tex]
Solution :
[tex](x^3 +1)=(x+1)^3-3x(x+1)[/tex]
[tex](x^3+1)=x^3+3x^2+3x+1-3x(x+1)[/tex]
[tex](x^3+1)= (x+1)(x^2+2x+1)-3x(x+1)[/tex]
[tex](x^3+1)= (x+1)(x^2-x+1)[/tex]
[tex]\dfrac{(x^3+1)}{(x^2-x+1)}=(x+1)[/tex]
For more information, refer the link given below
https://brainly.com/question/21416852?referrer=searchResults
