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Created on: 2012-04-07

A sample problem solved by Quickmath web math solver

Command

Join fractions

Expression

3/(5*t+1)+6/(t+6)+6/(t-4)

  1. A sum comprising 3 terms; the first term of the sum is equal to a rational expression: the numerator of the rational expression is three; the denominator of the rational expression is a sum that comprises 2 terms; the first term of the sum is a product that contains 2 factors; the first factor of the product is equal to five; the second factor of the product is t; the second term of the sum is one; the second term of the sum is equal to a rational expression: the top of the rational expression is six; the bottom of the rational expression is a sum that consists of 2 terms; the first term of the sum is equal to t; the second term of the sum is six; the third term of the sum is equal to a fraction: the top of the fraction is six; the bottom of the fraction is a sum that consists of 2 terms; the first term of the sum is equal to t; the second term of the sum is equal to negative four;
  2. three fraction line five times t plus one plus six fraction line t plus six plus six divided by t plus negative four.

Result

3*(21*t^2+26*t-20)/((5*t+1)*(t+6)*(t-4))

  1. A rational expression: the numerator of the rational expression is a product of 2 factors; the first factor of the product is three; the second factor of the product is equal to a sum comprising 3 terms; the first term of the sum is equal to a product comprising 2 factors; the first factor of the product is twenty one; the second factor of the product is a power; the base is t; the exponent is two; the second term of the sum is equal to a product consisting of 2 factors; the first factor of the product is equal to twenty six; the second factor of the product is equal to t; the third term of the sum is equal to negative twenty; the denominator of the rational expression is a product that consists of 3 factors; the first factor of the product is a sum that comprises 2 terms; the first term of the sum is equal to a product that contains 2 factors; the first factor of the product is equal to five; the second factor of the product is equal to t; the second term of the sum is equal to one; the second factor of the product is equal to a sum that contains 2 terms; the first term of the sum is equal to t; the second term of the sum is equal to six; the third factor of the product is equal to a sum that comprises 2 terms; the first term of the sum is equal to t; the second term of the sum is equal to negative four;
  2. three multiplied by open brace twenty one times t to the power two plus twenty six times t plus negative twenty close brace divided by left brace five multiplied by t plus one right brace times opening brace t plus six closing brace times opening parenthesis t plus negative four closing parenthesis;