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

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    Algebra Grade 12
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The discussion focuses on solving a complex fraction problem involving the expression 1 + (a + a^-1)^-1. The correct simplified form of the expression is identified as (a^2 + a + 1)/(a^2 + 1). Participants emphasize the importance of finding a common denominator when adding fractions to achieve the desired result. Clarification is provided regarding the notation a^-1, which represents 1/a. The user expresses difficulty in solving the problem and plans to share their work later for further assistance.
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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)
 
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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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