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

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