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Created on: 2012-01-16

A sample problem solved by Quickmath online algebra solver

canceling a rational expression.

Command

Join fractions

Expression

15-a*b*(a-b)/((s+a)*(s+a))

  1. A sum that consists of 2 terms. The first term of the sum is equal to fifteen. The second term of the sum is equal to a negative fraction: the top of the fraction is a product containing 3 factors. The first factor of the product is equal to a. The second factor of the product is equal to b. The third factor of the product is equal to a sum containing 2 terms. The first term of the sum is equal to a. The second term of the sum is equal to negative b. The bottom of the fraction is a product that consists of 2 factors. The first factor of the product is a sum that contains 2 terms. The first term of the sum is s. The second term of the sum is equal to a. The second factor of the product is a sum that contains 2 terms. The first term of the sum is s. The second term of the sum is equal to a.
  2. fifteen plus a negative times b multiplied by open brace a plus negative b close brace fraction line open bracket s plus a close bracket times left parenthesis s plus a right parenthesis;

Result

(15*s^2+30*a*s+a*b^2-a^2*b+15*a^2)/(s+a)^2

  1. A fraction: the numerator of the fraction is a sum that contains 5 terms. The first term of the sum is a product consisting of 2 factors. The first factor of the product is equal to fifteen. The second factor of the product is equal to a power. The base is s. The exponent is two. The second term of the sum is equal to a product that consists of 3 factors. The first factor of the product is equal to thirty. The second factor of the product is equal to a. The third factor of the product is equal to s. The third term of the sum is equal to a product consisting of 2 factors. The first factor of the product is equal to a. The second factor of the product is a power. The base is b. The exponent is two. The four term of the sum is equal to a negative product that consists of 2 factors. The first factor of the product is equal to a power. The base is a. The exponent is two. The second factor of the product is b. The five term of the sum is equal to a product comprising 2 factors. The first factor of the product is equal to fifteen. The second factor of the product is equal to a power. The base is a. The exponent is two. The denominator of the fraction is a power. The base is a sum containing 2 terms. The first term of the sum is s. The second term of the sum is a. The exponent is two.
  2. fifteen times s raised to the power two plus thirty times a multiplied by s plus a times b raised to the power two plus a negative exponentiated by two times b plus fifteen times a exponentiated by two fraction line left parenthesis s plus a right parenthesis to the power two;