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Created on: 2012-03-21

A sample problem solved by Quickmath math solver

Command

Partial Fractions

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

  1. A fraction: the top of the fraction is one; the bottom 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 comprising 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 four;
  2. one over x multiplied by left bracket x to the power of two plus four right bracket;
Result
1/(4*x)-x/(4*(x^2+4))

  1. A sum comprising 2 terms. The 1st term of the sum is equal to a rational expression: the top of the rational expression is one. The bottom of the rational expression is a product consisting of 2 factors. The 1st factor of the product is equal to four. The 2nd factor of the product is equal to x. The 2nd term of the sum is equal to a negative quotient: dividend of the quotient is x. Divisor of the quotient is a product of 2 factors. The 1st factor of the product is equal to four. The 2nd factor of the product is equal to a sum comprising 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 four.
  2. one divided by four times x plus negative x fraction line four times left bracket x raised to the power two plus four right bracket;