Asked by Taurus
                Why is the correct answer a^2-a+1 to this problem:
a^3+1/a+1
            
        a^3+1/a+1
Answers
                    Answered by
            Reiny
            
    Because a^3 + 1 factors to
(a+1)(a^2 - a + 1)
so
(a^3+1)/(a+1) , notice the necessary use of brackets
= (a+1)(a^2 - a + 1) / (a+1)
= a^2 - a + 1, on the condition that a≠ -1
    
(a+1)(a^2 - a + 1)
so
(a^3+1)/(a+1) , notice the necessary use of brackets
= (a+1)(a^2 - a + 1) / (a+1)
= a^2 - a + 1, on the condition that a≠ -1
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.