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Created on: 2012-01-02

A sample problem solved by Quickmath web math calculator

Command

Partial Fractions

Expression
(-12)*x^2+6*x+1/(1-2*x)*(1-x+(-2)*x^2)

  1. A sum that comprises 3 terms; the 1st term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to negative twelve; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 2nd term of the sum is a product that comprises 2 factors; the 1st factor of the product is equal to six; the 2nd factor of the product is equal to x; the 3rd term of the sum is equal to a product consisting of 2 factors; the 1st factor of the product is equal to a fraction: the top of the fraction is one; the bottom of the fraction is a sum that contains 2 terms; the 1st term of the sum is equal to one; the 2nd term of the sum is a negative product that comprises 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to x; the 2nd factor of the product is equal to a sum consisting of 3 terms; the 1st term of the sum is equal to one; the 2nd term of the sum is equal to negative x; the 3rd term of the sum is equal to a product that contains 2 factors; the 1st factor of the product is negative two; the 2nd factor of the product is equal to a power; the base is x; the exponent is two;
  2. open bracket negative twelve close bracket times x raised to the power of two plus six times x plus one divided by one plus negative two multiplied by x times opening parenthesis one plus negative x plus open parenthesis negative two close parenthesis times x raised to the power two closing parenthesis;
Result
-12*x^2+7*x+1

  1. A sum that comprises 3 terms. The 1st term of the sum is equal to a product that consists of 2 factors. The 1st factor of the product is equal to negative twelve. The 2nd factor of the product is a power. The base is x. The exponent is two. The 2nd term of the sum is equal to a product consisting of 2 factors. The 1st factor of the product is equal to seven. The 2nd factor of the product is equal to x. The 3rd term of the sum is equal to one.
  2. negative twelve times x raised to the power two plus seven multiplied by x plus one;