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Created on: 2012-04-13

A sample problem solved by Quickmath web algebra calculator

Command

Partial Fractions

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

  1. A product of 2 factors. The 1st factor of the product is a quotient: dividend of the quotient is one. Divisor of the quotient is a sum that consists of 3 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 x. The 3rd term of the sum is equal to one. The 2nd factor of the product is equal to a sum that comprises 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative one.
  2. one fraction line x to the power of two plus x plus one multiplied by opening parenthesis x plus negative one closing parenthesis.
Result
(x-1)/(x^2+x+1)

  1. A rational expression: the numerator of the rational expression is a sum that consists of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative one. The denominator of the rational expression is a sum of 3 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 x. The 3rd term of the sum is equal to one.
  2. x plus negative one fraction line x raised to the power of two plus x plus one.