Cancelling the Signs in Algebra

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SUMMARY

The discussion centers on the algebraic principle of cancelling signs in rational expressions, specifically illustrated by the equation ##\frac{-fu}{s-f}=\frac{fu}{-s+f}##. Participants confirm that multiplying both the numerator and denominator by -1 maintains the equality, thus allowing for the cancellation of signs. The rules for cancelling signs in algebra are clarified, emphasizing the importance of understanding multiplication by non-zero numbers.

PREREQUISITES
  • Understanding of rational expressions in algebra
  • Knowledge of multiplication properties, specifically with negative numbers
  • Familiarity with algebraic equations and their manipulation
  • Basic skills in simplifying fractions
NEXT STEPS
  • Study the properties of rational expressions in algebra
  • Learn about the rules for multiplying and dividing signed numbers
  • Explore advanced algebraic techniques for simplifying complex fractions
  • Practice problems involving cancelling signs in various algebraic contexts
USEFUL FOR

Students learning algebra, educators teaching algebraic concepts, and anyone seeking to strengthen their understanding of rational expressions and sign manipulation.

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Homework Statement


This is the simplest problem you would ever get.
##\frac{-fu}{s-f}=\frac{fu}{-s+f}##
This is true.
So the signs can be cancelled.What are the rules for doing that?
I guess I was not listening to the teacher when I first learned algebra.


The Attempt at a Solution


Don't think that I don't know algebra.I just want to know the rules of THAT.
 
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adjacent said:

Homework Statement


This is the simplest problem you would ever get.
##\frac{-fu}{s-f}=\frac{fu}{-s+f}##
This is true.
So the signs can be cancelled.What are the rules for doing that?
I guess I was not listening to the teacher when I first learned algebra.

The Attempt at a Solution


Don't think that I don't know algebra.I just want to know the rules of THAT.

Multiplying numerator and denominator of a rational number by a non zero number keeps it unchanged .The non zero number in this case is -1.
 
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Ok.Thanks,
I never thought I would not know something thing like that. :)
 

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