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Created on: 2011-11-26

A sample problem solved by Quickmath online math solver

Command

Partial Fractions

Expression
(z+4)/((z-1)*(z-2)*(z-3))
Visually impaired math text interpretations:
  1. A quotient: dividend of the quotient is a sum comprising 2 terms. The 1st term of the sum is equal to z. The 2nd term of the sum is equal to four. Divisor of the quotient is a product containing 3 factors. The 1st factor of the product is equal to a sum that contains 2 terms. The 1st term of the sum is equal to z. The 2nd term of the sum is equal to negative one. The 2nd factor of the product is equal to a sum comprising 2 terms. The 1st term of the sum is z. The 2nd term of the sum is equal to negative two. The 3rd factor of the product is a sum consisting of 2 terms. The 1st term of the sum is equal to z. The 2nd term of the sum is negative three.
  2. left curly brace z plus four right curly brace fraction line left curly brace open brace z plus negative one close brace times open brace z plus negative two close brace multiplied by left brace z plus negative three right brace right curly brace.
Result
5/(2*(z-1))-6/(z-2)+7/(2*(z-3))
Visually impaired math text interpretations:
  1. A sum consisting of 3 terms. The 1st term of the sum is a quotient: dividend of the quotient is five. Divisor of the quotient is a product of 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to a sum of 2 terms. The 1st term of the sum is equal to z. The 2nd term of the sum is equal to negative one. The 2nd term of the sum is a negative rational expression: the numerator of the rational expression is six. The denominator of the rational expression is a sum containing 2 terms. The 1st term of the sum is z. The 2nd term of the sum is equal to negative two. The 3rd term of the sum is a rational expression: the top of the rational expression is seven. The bottom of the rational expression is a product of 2 factors. The 1st factor of the product is equal to two. The 2nd 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 negative three.
  2. five fraction line left square bracket two multiplied by left brace z plus negative one right brace right square bracket plus negative six over left curly brace z plus negative two right curly brace plus seven divided by left curly brace two multiplied by open parenthesis z plus negative three close parenthesis right curly brace;