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Created on: 2012-04-03

A sample problem solved by Quickmath web algebra solver

Command

Partial Fractions

Expression
(x^5+18)/(x^2-1)

  1. A quotient: dividend of the quotient is a sum consisting of 2 terms; the 1st term of the sum is equal to a power; the base is x; the exponent is five; the 2nd term of the sum is eighteen; divisor of the quotient is a sum containing 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 negative one;
  2. x exponentiated by five plus eighteen fraction line x exponentiated by two plus negative one.
Result
-17/(2*(x+1))+x^3+x+19/(2*(x-1))

  1. A sum consisting of 4 terms. The 1st term of the sum is equal to a fraction: the top of the fraction is negative seventeen. The bottom of the fraction is a product that comprises 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to a sum of 2 terms. The 1st term of the sum is x. The 2nd term of the sum is one. The 2nd term of the sum is equal to a power . The base is x. The exponent is three. The 3rd term of the sum is equal to x. The 4th term of the sum is equal to a quotient: dividend of the quotient is nineteen. Divisor of the quotient is a product of 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to a sum of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative one.
  2. negative seventeen divided by two times left brace x plus one right brace plus x to the power of three plus x plus nineteen over two times left bracket x plus negative one right bracket;