Partial Fraction Decomposition: Rules for Multiple Fractions

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Homework Help Overview

The discussion revolves around the topic of partial fraction decomposition, specifically focusing on how to handle multiple fractions in the decomposition process. Participants are exploring the rules and constants involved when splitting a fraction into several parts.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster questions how to determine the constants that multiply each denominator when a fraction is decomposed into three parts. Other participants discuss the process of multiplying both sides of an equation by the denominators to simplify the expression.

Discussion Status

The conversation is ongoing, with participants sharing their thoughts and clarifying their understanding of the decomposition process. Some guidance has been offered regarding the multiplication of terms, but there is no explicit consensus on the method being discussed.

Contextual Notes

There is mention of a textbook that may not be clear to the participants, indicating potential gaps in understanding or missing information regarding the rules of partial fraction decomposition.

1MileCrash
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I hope its not a problem if I don't have an actual problem. I have a question about partial fractions.

When I spilt it into two, the numerator of the original is equal to unknown constant A times secondimerator, plus unknown constant b times first denominator.

What if it is spilt into three fractions? What constant gets multiplied by what denominator?
 
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If f/(p.q.r) = A/p + B/q + C/r

then multip both sides by pqr to get

f = A.qr + B.pr + C.pq
 
So, multiply by the other two for all three? I had hoped that was the case. Hard to tell what my book did..
 
1MileCrash said:
So, multiply by the other two for all three? I had hoped that was the case. Hard to tell what my book did..
You can scan that part of the book that you do not understand.
 
Ill take a picture when I get out of class, thanks!
 

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