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Created on: 2011-12-28

A sample problem solved by Quickmath online algebra calculator

Command

Partial Fractions

Expression
(x^2+1)/(x^4-x^2)

  1. A fraction: the numerator of the fraction is a sum 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 denominator of the fraction is a sum containing 2 terms. The first term of the sum is a power. The base is x. The exponent is four. The second term of the sum is equal to a negative power. The base is x. The exponent is two.
  2. x raised to the power two plus one over x exponentiated by four plus negative x raised to the power two;
Result
-1/(x+1)-1/x^2+1/(x-1)

  1. A sum containing 3 terms. The first term of the sum is a rational expression: the top of the rational expression is negative one. The bottom of the rational expression is a sum comprising 2 terms. The first term of the sum is equal to x. The second term of the sum is one. The second term of the sum is equal to a negative fraction: the numerator of the fraction is one. The denominator of the fraction is a power. The base is x. The exponent is two. The third term of the sum is equal to a quotient: dividend of the quotient is one. Divisor of the quotient is a sum of 2 terms. The first term of the sum is x. The second term of the sum is equal to negative one.
  2. negative one fraction line x plus one plus negative one over x raised to the power of two plus one divided by x plus negative one.