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Created on: 2012-01-14

A sample problem solved by Quickmath online algebra solver

Command

Partial Fractions

Expression
(3*x-2)*(x+2)^2/(3*(x^2-1))

  1. A rational expression: the top of the rational expression is a product that comprises 2 factors; the 1st factor of the product is equal to a sum that consists of 2 terms; the 1st term of the sum is a product that comprises 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is equal to x; the 2nd term of the sum is equal to negative two; the 2nd factor of the product is equal to a power; the base is a sum that consists of 2 terms; the 1st term of the sum is x; the 2nd term of the sum is equal to two; the exponent is two; the bottom of the rational expression is a product that comprises 2 factors; the 1st factor of the product is three; the 2nd factor of the product is equal to a sum of 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 equal to negative one;
  2. opening bracket three times x plus negative two closing bracket times left brace x plus two right brace to the power two fraction line three times opening bracket x raised to the power of two plus negative one closing bracket;
Result
5/(6*(x+1))+(3*x+10)/3+3/(2*(x-1))

  1. A sum of 3 terms. The 1st term of the sum is equal to a fraction: the top of the fraction is five. The bottom of the fraction is a product that consists of 2 factors. The 1st factor of the product is equal to six. The 2nd factor of the product is equal to a sum consisting of 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to one. The 2nd term of the sum is equal to a rational expression: the top of the rational expression is a sum of 2 terms. The 1st term of the sum is a product of 2 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is equal to x. The 2nd term of the sum is equal to ten. The bottom of the rational expression is three. The 3rd term of the sum is equal to a rational expression: the top of the rational expression is three. The bottom of the rational expression is a product containing 2 factors. The 1st factor of the product is two. The 2nd factor of the product is a sum that consists of 2 terms. The 1st term of the sum is x. The 2nd term of the sum is negative one.
  2. five fraction line six multiplied by open brace x plus one close brace plus three times x plus ten divided by three plus three divided by two times opening parenthesis x plus negative one closing parenthesis.