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Created on: 2012-03-30

A sample problem solved by Quickmath web math calculator

splitting (x^5+18)/(x^2-1) to partial fractions

Command

Factor

Expression

12*p^7*q+18*p^6*q^4+30*p^4*q^2

  1. A sum that contains 3 terms; the 1st term of the sum is equal to a product of 3 factors; the 1st factor of the product is equal to twelve; the 2nd factor of the product is a power ; the base is p; the exponent is seven; the 3rd factor of the product is equal to q; the 2nd term of the sum is equal to a product that consists of 3 factors; the 1st factor of the product is equal to eighteen; the 2nd factor of the product is equal to a power; the base is p; the exponent is six; the 3rd factor of the product is a power; the base is q; the exponent is four; the 3rd term of the sum is equal to a product that comprises 3 factors; the 1st factor of the product is equal to thirty; the 2nd factor of the product is a power; the base is p; the exponent is four; the 3rd factor of the product is a power; the base is q; the exponent is two;
  2. twelve multiplied by p to the power seven times q plus eighteen times p raised to the power of six times q to the power four plus thirty multiplied by p to the power of four multiplied by q to the power two.

Result

6*p^4*q*(3*p^2*q^3+5*q+2*p^3)

  1. A product that contains 4 factors; the 1st factor of the product is equal to six; the 2nd factor of the product is equal to a power; the base is p; the exponent is four; the 3rd factor of the product is equal to q; the 4th factor of the product is equal to a sum containing 3 terms; the 1st term of the sum is a product of 3 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is a power; the base is p; the exponent is two; the 3rd factor of the product is equal to a power; the base is q; the exponent is three; the 2nd term of the sum is a product that comprises 2 factors; the 1st factor of the product is equal to five; the 2nd factor of the product is equal to q; the 3rd term of the sum is a product that consists of 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is a power; the base is p; the exponent is three;
  2. six times p exponentiated by four multiplied by q multiplied by opening bracket three times p raised to the power two times q raised to the power of three plus five times q plus two multiplied by p raised to the power of three closing bracket.