On Tue, 15 Jan 2013, stony wrote: > > Need a little help with this. We are simplifying the following, but > the solution is pretty lengthy and messy because of the enormous > number of factors. I was thinking that may be I am missing seeing a > pattern (some series or something). Is grunt work the only way to > solve this or is there a pattern that can simplify the whole process? > Write very neatly and work methodically cheching and doubling cheching each step as you go and again afterwards.
> ((b-c)/((a-b)(a-c))) + ((c-a)/((b-c)(b-a))) + ((a-b)/((c-a)(c-b))) + > (2/(b-a)) - (2/(c-a)) > > of course, I took all the factors in the denominator and then started > multiplying the numerator with the remaining factors to end up with a > mess.