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Created on: 2012-01-07

A sample problem solved by Quickmath online algebra calculator

Command

Partial Fractions

Expression
(6*x^3+4*x+1)/(x^4+x^2)

  1. A rational expression: the numerator of the rational expression is a sum that consists of 3 terms; the first term of the sum is equal to a product that contains 2 factors; the first factor of the product is equal to six; the second factor of the product is equal to a power; the base is x; the exponent is three; the second term of the sum is equal to a product comprising 2 factors; the first factor of the product is equal to four; the second factor of the product is x; the third term of the sum is equal to one; the denominator of the rational expression is a sum comprising 2 terms; the first term of the sum is equal to a power; the base is x; the exponent is four; the second term of the sum is equal to a power; the base is x; the exponent is two;
  2. six multiplied by x raised to the power three plus four times x plus one divided by x raised to the power four plus x exponentiated by two.
Result
(2*x-1)/(x^2+1)+4/x+1/x^2

  1. A sum of 3 terms. The first term of the sum is equal to a rational expression: the top of the rational expression is a sum comprising 2 terms. The first term of the sum is a product of 2 factors. The first factor of the product is two. The second factor of the product is equal to x. The second term of the sum is equal to negative one. The bottom of the rational expression is a sum that consists of 2 terms. The first term of the sum is equal to a power. The base is x. The exponent is two. The second term of the sum is equal to one. The second term of the sum is a rational expression: the numerator of the rational expression is four. The denominator of the rational expression is x. The third term of the sum is equal to a fraction: the numerator of the fraction is one. The denominator of the fraction is a power. The base is x. The exponent is two.
  2. two multiplied by x plus negative one over x to the power two plus one plus four fraction line x plus one fraction line x exponentiated by two;