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 August 24th, 2012, 12:05 AM #1 Newbie   Joined: Aug 2012 Posts: 7 Thanks: 0 Partial Fraction Hi,my name is Lvee.. Can anyone who expert in Partial Fraction Question teach me about this kind of question? i still cannot understand it...TQ
 August 24th, 2012, 12:22 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: Partial Fraction What is the question, and I will move it to the appropriate forum and help with the question... Is it perhaps the question posted in this topic?
 August 24th, 2012, 01:12 PM #3 Newbie   Joined: Aug 2012 Posts: 7 Thanks: 0 Re: Partial Fraction The question is.... Express the fraction (20x^2+/(3x+1)(x+1)^2 as a sum of partial fractions. It will be, (20x^2+/(3x+1)(x+1)^2=(A/3x+1)+(B/(x+1)+(C/(x+1)^2 My question is why it become like this (A/3x+1)+(B/(x+1)+(C/(x+1)^2? (I mean with the constant A,B,C.) Thank you :P :P
 August 24th, 2012, 02:53 PM #4 Global Moderator   Joined: Dec 2006 Posts: 20,747 Thanks: 2133 What alternatives could there be?
 August 24th, 2012, 10:43 PM #5 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 Re: Partial Fraction This site has a good explanation with examples, look at it then let me know if you still have questions. http://www.purplemath.com/modules/partfrac.htm I quote from the site "Sometimes a factor in the denominator occurs more than once. For instance, in the fraction 13/24, the denominator 24 factors as 2×2×2×3. The factor 2 occurs three times. To get the 13/24, there may have been a 1/2 or a 1/4 or a 1/8 that was included in the original addition. You can't tell by looking at the final result. In the same way, if a rational expression has a repeated factor in the denominator, you can't tell, just by looking, which denominators might have been included in the original addition. You have to account for every possibility."
 August 25th, 2012, 02:01 AM #6 Newbie   Joined: Aug 2012 Posts: 7 Thanks: 0 Re: Partial Fraction Thank you agentredlum
 August 26th, 2012, 07:19 AM #7 Newbie   Joined: Aug 2012 Posts: 7 Thanks: 0 Re: Partial Fraction Feel free to post a question okay...
August 26th, 2012, 12:02 PM   #8
Math Team

Joined: Jul 2011
From: North America, 42nd parallel

Posts: 3,372
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Re: Partial Fraction

Quote:
 Originally Posted by Lvee Feel free to post a question okay...
Okay... this question is for Lvee... please show all steps.

Find a partial fraction decomposition of $\frac{x^2 - x + 1}{x(x - 1)^2}$

let me know if you get stuck and I will help you get unstuck.

 Tags fraction, partial

,

### Teach me partial fraction.

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