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Created on: 2012-03-18

A sample problem solved by Quickmath math calculator

Command

Join fractions

Expression

1/(120*(z-5))-1/(8*(z-1))-1/(12*(z+1))+1/(5*z)

  1. A sum consisting of 4 terms; the 1st term of the sum is equal to a rational expression: the top of the rational expression is one; the bottom of the rational expression is a product that consists of 2 factors; the 1st factor of the product is equal to one hundred twenty; the 2nd factor of the product is equal to a sum that consists of 2 terms; the 1st term of the sum is equal to z; the 2nd term of the sum is equal to negative five; the 2nd term of the sum is a negative quotient: dividend of the quotient is one; divisor of the quotient is a product containing 2 factors; the 1st factor of the product is eight; the 2nd factor of the product is a sum of 2 terms; the 1st term of the sum is equal to z; the 2nd term of the sum is negative one; the 3rd term of the sum is equal to a negative quotient: dividend of the quotient is one; divisor of the quotient is a product that contains 2 factors; the 1st factor of the product is equal to twelve; the 2nd factor of the product is a sum of 2 terms; the 1st term of the sum is equal to z; the 2nd term of the sum is one; the 4th term of the sum is equal to a rational expression: the numerator of the rational expression is one; the denominator of the rational expression is a product that comprises 2 factors; the 1st factor of the product is equal to five; the 2nd factor of the product is z;
  2. one over one hundred twenty multiplied by open brace z plus negative five close brace plus negative one divided by eight times open parenthesis z plus negative one close parenthesis plus negative one divided by twelve multiplied by opening parenthesis z plus one closing parenthesis plus one fraction line five times z.

Result

1/((z+1)*(z-1)*(z-5)*z)

  1. A rational expression: the top of the rational expression is one; the bottom of the rational expression is a product that consists of 4 factors; the 1st factor of the product is equal to a sum comprising 2 terms; the 1st term of the sum is equal to z; the 2nd term of the sum is equal to one; the 2nd factor of the product is equal to a sum consisting of 2 terms; the 1st term of the sum is z; the 2nd term of the sum is negative one; the 3rd factor of the product is equal to a sum consisting of 2 terms; the 1st term of the sum is equal to z; the 2nd term of the sum is negative five; the 4th factor of the product is equal to z;
  2. one fraction line open parenthesis z plus one close parenthesis times open bracket z plus negative one close bracket multiplied by left brace z plus negative five right brace times z;