Solving Complex Fractions: Equivalent Polynomial/Rational Expressions (Grade 12)

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    Algebra Grade 12
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Homework Help Overview

The discussion revolves around simplifying complex fractions, specifically focusing on finding a polynomial or rational expression equivalent to the given expression: 1+(a+a^-1)^-1. The subject area is algebra, particularly dealing with rational expressions and their simplifications.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the method of finding a common denominator when adding fractions and the implications of the notation a^-1. There is an attempt to clarify the meaning of a^-1 as 1/a.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and sharing their understanding of the notation involved. Some guidance has been offered regarding the approach to take, but no consensus has been reached on the solution.

Contextual Notes

The original poster indicates a misunderstanding about the type of problem, initially categorizing it incorrectly. There is also a mention of time constraints affecting the ability to post further work.

Mach
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please help me with this quest i cannot figure it out (please show your work thanks!) sry i made a mistake this is not algebra. it is sloving complex fractions

Determine a polynomial or rational algebraic expression in simple form equivalent to each of the following: C3

1+(a+a^-1)^-1



















the answer is (a^2+a+1)/(a^2+1)
 
Last edited:
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Each time you encounter addition of fraction, put them on the same denominator. In the end, you'll have (somthing)/(something), which is the goal of the exercice.
 
Do you know what a-1 means?
 
yes i do it means 1/a

i just can't get the answer. i have to go to school now so ill post my work when i get home
 

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