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Created on: 2012-02-04

A sample problem solved by Quickmath web math calculator

Command

Partial Fractions

Expression
(x^2+1)/(x*(x+1))

  1. A fraction: the numerator of the fraction is a sum that contains 2 terms; the 1st term of the sum is equal to a power; the base is x; the exponent is two; the 2nd term of the sum is equal to one; the denominator of the fraction is a product that contains 2 factors; the 1st factor of the product is equal to x; the 2nd factor of the product is equal to a sum consisting of 2 terms; the 1st term of the sum is equal to x; the 2nd term of the sum is one;
  2. x raised to the power two plus one fraction line x times left bracket x plus one right bracket;
Result
-2/(x+1)+1/x+1

  1. A sum containing 3 terms; the 1st term of the sum is equal to a rational expression: the numerator of the rational expression is negative two; the denominator of the rational expression is a sum of 2 terms; the 1st term of the sum is x; the 2nd term of the sum is equal to one; the 2nd term of the sum is equal to a fraction: the top of the fraction is one ; the bottom of the fraction is x; the 3rd term of the sum is equal to one;
  2. negative two fraction line x plus one plus one over x plus one.