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

In summary, the conversation is about solving complex fractions and determining a polynomial or rational algebraic expression equivalent to C3. The suggested method is to put the fractions on the same denominator and simplify the expression. The term a^-1 is clarified to mean 1/a. The person is struggling to find the answer and will post their work later.
  • #1
Mach
14
0
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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  • #2
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.
 
  • #3
Do you know what a-1 means?
 
  • #4
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
 

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

What is Algebra?

Algebra is a branch of mathematics that deals with operations and relations using letters and symbols to represent quantities and numbers. It is used to solve equations and analyze patterns and relationships between different quantities.

Why is Algebra important?

Algebra is important because it is the foundation for many advanced mathematical concepts and real-world applications. It helps develop critical thinking and problem-solving skills, and is used in various fields such as science, engineering, and economics.

What are some common topics covered in Grade 12 Algebra?

Some common topics covered in Grade 12 Algebra include complex numbers, quadratic functions, logarithms and exponential functions, and systems of equations.

What are some tips for succeeding in Grade 12 Algebra?

Some tips for succeeding in Grade 12 Algebra include regularly practicing problems, seeking help from teachers or tutors when needed, and breaking down complex problems into smaller, easier steps. It is also important to review and understand previous concepts before moving on to more advanced topics.

How can I use technology to improve my understanding of Algebra?

There are many online resources and apps available that offer interactive tutorials, practice problems, and step-by-step solutions for Algebra. You can also use graphing calculators to visualize and better understand graphs and equations. However, it is important to not solely rely on technology and to also practice solving problems by hand.

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