Adding variables with same exponents

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SUMMARY

The discussion focuses on the algebraic simplification of the expression .2y^3 + .6y^3 - .5y^3. The correct solution is confirmed to be .3y^3, achieved by applying the distributive law to combine like terms. Participants validate the solution, emphasizing the accuracy of the calculation. The final expression is derived as (.2 + .6 - .5)y^3 = .3y^3.

PREREQUISITES
  • Understanding of algebraic expressions and like terms
  • Familiarity with the distributive law in algebra
  • Basic knowledge of polynomial operations
  • Ability to perform arithmetic operations with decimals
NEXT STEPS
  • Study the distributive property in greater depth
  • Practice simplifying polynomial expressions with varying degrees
  • Explore advanced topics in algebra, such as factoring polynomials
  • Learn about the application of algebra in real-world problem-solving
USEFUL FOR

Students learning algebra, educators teaching polynomial simplification, and anyone seeking to improve their mathematical problem-solving skills.

rcmango
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Homework Statement



solve.

.2y^3 + .6y^3 - .5y^3

I believe the answer to be .3y^3

Homework Equations





The Attempt at a Solution



i got the answer to be .8y^3 - .5y^3

= .3y^3

I think this is correct, I'm not sure, please let me know if I finished this correctly.
 
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hi rcmango! :smile:
(try using the X2 button just above the Reply box :wink:)
rcmango said:
.2y^3 + .6y^3 - .5y^3

I believe the answer to be .3y^3

yes, that's fine :smile:

.2y3 + .6y3 - .5y3

= (.2 + .6 - .5)y3 = .3y3 (distributive law)
 
Thanks.
 

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