Multiplying Rational Expressions

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SUMMARY

The discussion centers on multiplying rational expressions, specifically the expression \(\frac{5(y-2)}{y+1} \times \frac{y+1}{10}\). The correct simplification of this expression is confirmed to be \(\frac{5(y-2)(y+1)}{10(y+1)}\). Participants clarified the importance of recognizing the brackets around \(y+1\) in the multiplication process, ensuring accurate simplification. The conversation concludes with a clear understanding of how to simplify rational expressions effectively.

PREREQUISITES
  • Understanding of rational expressions
  • Familiarity with algebraic simplification techniques
  • Knowledge of multiplication of fractions
  • Basic grasp of mathematical notation and operations
NEXT STEPS
  • Study the rules of multiplying rational expressions
  • Learn how to simplify complex fractions
  • Explore the concept of factoring polynomials
  • Practice solving problems involving rational expressions
USEFUL FOR

Students learning algebra, educators teaching rational expressions, and anyone seeking to improve their skills in simplifying mathematical expressions.

mike_302
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Homework Statement



[tex]\frac{5(y-2)}{y+1}[/tex] x [tex]\frac{y+1}{10}[/tex]

Homework Equations





The Attempt at a Solution



Does this equal 5(y-2)(y+1)/10(y+1) ? Or are there no brackets on that first y+1 ?
 
Last edited:
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It would be equal to what you have. You can simplify it as well.
 
Ok, I just needed to make sure. Now I understand/am sure of how to simplify it. Thanks!
 

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