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Created on: 2012-03-19

A sample problem solved by Quickmath algebra calculator

Command

Partial Fractions

Expression
2*x^2+5/6*x^3+2*x^2+22*x

  1. A sum that contains 4 terms. The 1st term of the sum is equal to a product consisting of 2 factors. The 1st factor of the product is two. The 2nd factor of the product is a power. The base is x. The exponent is two. The 2nd term of the sum is a product of 2 factors. The 1st factor of the product is a rational expression: the top of the rational expression is five. The bottom of the rational expression is six. The 2nd factor of the product is a power. The base is x. The exponent is three. The 3rd term of the sum is equal to a product that comprises 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 4th term of the sum is a product containing 2 factors. The 1st factor of the product is twenty two. The 2nd factor of the product is x.
  2. two times x raised to the power of two plus five divided by six times x to the power of three plus two multiplied by x to the power of two plus twenty two multiplied by x;
Result
(5*x^3+24*x^2+132*x)/6

  1. A fraction: the top of the fraction is a sum that comprises 3 terms. The 1st term of the sum is a product that consists of 2 factors. The 1st factor of the product is five. The 2nd factor of the product is equal to a power. The base is x. The exponent is three. The 2nd term of the sum is a product comprising 2 factors. The 1st factor of the product is equal to twenty four. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 3rd term of the sum is a product of 2 factors. The 1st factor of the product is equal to one hundred thirty two. The 2nd factor of the product is equal to x. The bottom of the fraction is six.
  2. five multiplied by x to the power three plus twenty four times x exponentiated by two plus one hundred thirty two times x divided by six.