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Created on: 2012-01-22

A sample problem solved by Quickmath online algebra calculator

Command

Join fractions

Expression

((10*(x*x)+15)/x-6)/((8*(x*x)+12)/(x*x-36))

  1. A fraction: the top of the fraction is a sum that contains 2 terms; the first term of the sum is a fraction: the numerator of the fraction is a sum of 2 terms; the first term of the sum is a product comprising 2 factors; the first factor of the product is equal to ten; the second factor of the product is a product that comprises 2 factors; the first factor of the product is equal to x; the second factor of the product is equal to x; the second term of the sum is equal to fifteen; the denominator of the fraction is x; the second term of the sum is equal to negative six; the bottom of the fraction is a fraction: the numerator of the fraction is a sum that comprises 2 terms; the first term of the sum is equal to a product comprising 2 factors; the first factor of the product is equal to eight; the second factor of the product is a product that consists of 2 factors; the first factor of the product is equal to x; the second factor of the product is equal to x; the second term of the sum is twelve; the denominator of the fraction is a sum of 2 terms; the first term of the sum is equal to a product that contains 2 factors; the first factor of the product is x; the second factor of the product is equal to x; the second term of the sum is equal to negative thirty six;
  2. ten multiplied by open parenthesis x times x close parenthesis plus fifteen divided by x plus negative six divided by eight times left bracket x multiplied by x right bracket plus twelve divided by x times x plus negative thirty six.

Result

(10*x^2-6*x+15)*(x^2-36)/(4*(2*x^2+3)*x)

  1. A fraction: the numerator of the fraction is a product consisting of 2 factors; the first factor of the product is equal to a sum that consists of 3 terms; the first term of the sum is a product of 2 factors; the first factor of the product is ten; the second factor of the product is equal to a power; the base is x; the exponent is two; the second term of the sum is equal to a negative product consisting of 2 factors; the first factor of the product is equal to six; the second factor of the product is equal to x; the third term of the sum is equal to fifteen; the second factor of the product is equal to a sum consisting of 2 terms; the first term of the sum is equal to a power; the base is x; the exponent is two; the second term of the sum is negative thirty six; the denominator of the fraction is a product that comprises 3 factors; the first factor of the product is equal to four; the second factor of the product is equal to a sum comprising 2 terms; the first term of the sum is equal to a product comprising 2 factors; the first factor of the product is equal to two; the second factor of the product is equal to a power; the base is x; the exponent is two; the second term of the sum is three; the third factor of the product is equal to x;
  2. opening parenthesis ten multiplied by x raised to the power two plus negative six times x plus fifteen closing parenthesis times opening brace x raised to the power of two plus negative thirty six closing brace divided by four multiplied by opening bracket two times x raised to the power two plus three closing bracket multiplied by x;