Posted by Rass on Sunday, January 1, 2012 at 8:40pm.
write the partial fraction decomposition of the following rational expression ( hint: binomial expansion with Pascal triangle can be used to expand binomials. technology may be used to solve large systems using matrices or determinants)
4
 x^3(x3)(x+2)(x1)^2(x^2+1)^2(x^21)^3

check typing  Math grade 12  Reiny, Sunday, January 1, 2012 at 8:43pm
Look how your expression turned out.
Use brackets and such symbols as / for division to type your expression.

Math grade 12  Rass, Sunday, January 1, 2012 at 8:48pm
this better?
write the partial fraction
decomposition of the following rational expression ( hint: binomial expansion with Pascal triangle can be used to expand binomials. technology may be used to solve large systems using matrices or determinants)
4/x^3(x3)(x+2)(x1)^2(x^2+1)^2(x^21)^3

Math grade 12  Rass, Sunday, January 1, 2012 at 9:00pm
Can anyone please help me?

Math grade 12  Reiny, Sunday, January 1, 2012 at 9:00pm
Are you serious?
Is this an actual question from a textbook?
Even Wolfram had a hemorrhage trying to do that one
Look at the "partial fraction expansion"
http://www.wolframalpha.com/input/?i=4%2F%28x%5E3%28x3%29%28x%2B2%29%28x1%29%5E2%28x%5E2%2B1%29%5E2%28x%5E21%29%5E3%29

Math grade 12  Rass, Sunday, January 1, 2012 at 9:04pm
Yes I am very serious. My math teacher must be playing a sick joke with us. He said it would hurt our brain. I guess he just wants us to know that there are such problems as this one that exists. thank you for your help though :)

Math grade 12  Reiny, Sunday, January 1, 2012 at 9:12pm
Do you realize the number of cases you can have
e.g.
A/x + B/x^2 + C/x^3 + D/(x3) + E/(x+2) + F(x^2+1) + G/(x^2+1)^2 + ........
and we should not forget such fractions as
?/(x(x^2+1)) or ?/(x(x3)(x+2)(x^21)^3 )
can you see the absurdity of this question?
There would be 12 different factors, which would make 2^12  1 or 4095 subsets

Math grade 12  Rass, Sunday, January 1, 2012 at 9:27pm
I see what you're saying. Thank you very much. there is no way to do this with binomial expansion though with the pascal triangle or it's still impoosibly long?

Math grade 12  joe, Tuesday, January 3, 2012 at 7:31pm
10bb+1
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