Maths Partial Fraction

psd99

psd99

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hi everyone happy easter to you here

right just a wild shot please

does anyone here know how to express the following in terms of partial fractions
the equation reads

1 over

(x^2+1) (x+3)^2


so that would read one over
bracket open x squared plus one bracket close
bracket open x plus three bracket closed all to the power of two.

I just need to know how to express this in terms of A B or C
and what goes on the denominator an explanation is not necessary at this point!

im hope we have some people who knows their maths amongst us!


thanks

psd99
 
huh? ... is that English?

Nope, not me ...

I went decimal in 1971 :D



... sorry. ;)
 
i've been doing this recently for my A-level course, i'll work it out

Edit: i've done some of it, if you want me to work out the valuse of A, B and C i can but im doing coursework so i wont be able to do it till later tonight
 

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Thats the answer supposedly, was too lazy to work it out myself so I'd wait for Me__2001's confirmation too! :)
 

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me 2001 what u have written there is what i think the partial expression should be represented as

but then if u look at Admins answer you will see the term
4-3x on the top

this is the part that I am struggling to understand
I dont know how to deal with the (X^2 + 1)

Im not so sure if when spliting this up it is

A over x squared plus one
or

Ax+b over x squared plus one

did that make sense?

and admin I like your answer but its just the first part of that
im struggling to split that up!


thanks for your help guys
psd99
 
actually thinking about it you probably have to factorise the first term (x^2 +1 ), i'll have a go now i've done my work
 
i've been thinking of this for a while now and came up with two different routes, the first was to just do it how i had initially thought and the other was to try and do it by factorising (x^2 +1)

i'm pretty sure what ian has posted is right but i've only been able to work out the value of C as i dont know what to do with the x^2 either, i've been through my notes and i cant find anything on how to do it

the other way i ended up with 4 parts and it got a bit messy

i dont think i can be of anymore help
 
I've done it manually and ended up with the same answer - I just stuck total fractions on the top to remove the 50 from the bottom line though.

Been a few years since I've done these, but if it isn't right I'll dig out some books and have another go for you.
 
please see the pic this is the solution

the problem on this is that there are FOUR terms
this book annoys me because it goes from one to four without telling me where 2 and 3 is :(

what u rekon?
 

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