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Created on: 2012-04-01

A sample problem solved by Quickmath online math calculator

placing a fraction; in the common form | partial fraction decomposition of 1/(x*(x^2+4))

Command

Partial Fractions

Expression
(s+1)*(s+3)/(s+4)*(s-1)/(s+4)*(s+7)/(s+1)*(s+3)

  1. A product consisting of 2 factors. The first factor of the product is equal to a rational expression: the numerator of the rational expression is a product containing 2 factors. The first factor of the product is equal to a rational expression: the top of the rational expression is a product that contains 2 factors. The first factor of the product is a fraction: the top of the fraction is a product comprising 2 factors. The first factor of the product is equal to a sum that consists of 2 terms. The first term of the sum is s. The second term of the sum is equal to one. The second factor of the product is a sum that consists of 2 terms. The first term of the sum is equal to s. The second term of the sum is equal to three. The bottom of the fraction is a sum of 2 terms. The first term of the sum is equal to s. The second term of the sum is four. The second factor of the product is equal to a sum consisting of 2 terms. The first term of the sum is s. The second term of the sum is equal to negative one. The bottom of the rational expression is a sum that contains 2 terms. The first term of the sum is equal to s. The second term of the sum is four. The second factor of the product is equal to a sum consisting of 2 terms. The first term of the sum is equal to s. The second term of the sum is equal to seven. The denominator of the rational expression is a sum consisting of 2 terms. The first term of the sum is equal to s. The second term of the sum is equal to one. The second factor of the product is a sum containing 2 terms. The first term of the sum is s. The second term of the sum is equal to three.
  2. opening parenthesis s plus one closing parenthesis times left brace s plus three right brace divided by s plus four multiplied by open parenthesis s plus negative one close parenthesis fraction line s plus four times open bracket s plus seven close bracket over s plus one multiplied by open bracket s plus three close bracket;
Result
28/(s+4)-15/(s+4)^2+s^2+4*s-10

  1. A sum consisting of 5 terms. The first term of the sum is a fraction: the top of the fraction is twenty eight. The bottom of the fraction is a sum comprising 2 terms. The first term of the sum is s. The second term of the sum is equal to four. The second term of the sum is equal to a negative rational expression: the numerator of the rational expression is fifteen. The denominator of the rational expression is a power. The base is a sum containing 2 terms. The first term of the sum is s. The second term of the sum is equal to four. The exponent is two. The third term of the sum is a power. The base is s. The exponent is two. The four term of the sum is a product that consists of 2 factors. The first factor of the product is four. The second factor of the product is equal to s. The five term of the sum is negative ten.
  2. twenty eight over s plus four plus negative fifteen over open parenthesis s plus four close parenthesis to the power of two plus s to the power of two plus four multiplied by s plus negative ten.