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Created on: 2012-03-08

A sample problem solved by Quickmath math solver

a fraction; x/(x^2-36)+1/(x^2-12*x+36) over common denominator | making partial fractions from a sum consisting of 3 terms; (-12)*x^2+6*x+1/(1-2*x)*(1-x+(-2)*x^2)

Command

Partial Fractions

Expression
(16*k^4+16*k^3+4*k-1)/(4*k^2+1)

  1. A fraction: the top of the fraction is a sum that contains 4 terms. The 1st term of the sum is a product containing 2 factors. The 1st factor of the product is sixteen. The 2nd factor of the product is equal to a power. The base is k. The exponent is four. The 2nd term of the sum is equal to a product that comprises 2 factors. The 1st factor of the product is sixteen. The 2nd factor of the product is a power. The base is k. The exponent is three. The 3rd term of the sum is equal to a product containing 2 factors. The 1st factor of the product is equal to four. The 2nd factor of the product is equal to k. The 4th term of the sum is equal to negative one. The bottom of the fraction is a sum containing 2 terms. The 1st term of the sum is equal to 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 power. The base is k. The exponent is two. The 2nd term of the sum is one.
  2. sixteen times k raised to the power of four plus sixteen times k raised to the power of three plus four multiplied by k plus negative one fraction line four multiplied by k raised to the power of two plus one;
Result
4*k^2+4*k-1

  1. A sum that contains 3 terms; the 1st term of the sum is equal to a product that comprises 2 factors; the 1st factor of the product is equal to four; the 2nd factor of the product is equal to a power; the base is k; the exponent is two; the 2nd term of the sum is equal to a product comprising 2 factors; the 1st factor of the product is equal to four; the 2nd factor of the product is k; the 3rd term of the sum is equal to negative one;
  2. four times k raised to the power of two plus four multiplied by k plus negative one.