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Created on: 2012-02-28

A sample problem solved by Quickmath online algebra calculator

Command

Join fractions

Expression

x/(x^2-36)+1/(x^2-12*x+36)

  1. A sum consisting of 2 terms. The first term of the sum is a fraction: the numerator of the fraction is x. The denominator of the fraction is a sum that comprises 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 second term of the sum is a fraction: the numerator of the fraction is one. The denominator of the fraction is a sum that comprises 3 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 equal to a negative product containing 2 factors. The first factor of the product is twelve. The second factor of the product is x. The third term of the sum is thirty six.
  2. x over x to the power of two plus negative thirty six plus one fraction line x raised to the power two plus negative twelve multiplied by x plus thirty six;

Result

(x^2-5*x+6)/((x+6)*(x-6)^2)

  1. A rational expression: the numerator of the rational expression is a sum consisting of 3 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 equal to a negative product of 2 factors; the first factor of the product is five; the second factor of the product is equal to x; the third term of the sum is equal to six; the denominator of the rational expression is a product containing 2 factors; the first factor of the product is equal to a sum that comprises 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to six; the second factor of the product is equal to a power; the base is a sum that comprises 2 terms; the first term of the sum is equal to x; the second term of the sum is negative six; the exponent is two;
  2. x to the power of two plus negative five multiplied by x plus six fraction line left brace x plus six right brace multiplied by opening parenthesis x plus negative six closing parenthesis raised to the power of two;