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Created on: 2012-02-02

A sample problem solved by Quickmath online algebra calculator

Command

Join fractions

Expression

1/(x-1)^2+4/(x-1)+(-1)/(x^2+1)

  1. A sum consisting of 3 terms; the 1st term of the sum is equal to a rational expression: the top of the rational expression is one; the bottom of the rational expression is a power; the base is a sum consisting of 2 terms; the 1st term of the sum is x; the 2nd term of the sum is equal to negative one; the exponent is two; the 2nd term of the sum is a rational expression: the top of the rational expression is four; the bottom of the rational expression is a sum that comprises 2 terms; the 1st term of the sum is equal to x; the 2nd term of the sum is equal to negative one; the 3rd term of the sum is equal to a fraction: the top of the fraction is negative one; the bottom of the fraction is a sum that comprises 2 terms; the 1st term of the sum is equal to a power; the base is x; the exponent is two; the 2nd term of the sum is one;
  2. one divided by left bracket x plus negative one right bracket to the power of two plus four fraction line x plus negative one plus negative one fraction line x raised to the power of two plus one.

Result

2*(2*x^3-2*x^2+3*x-2)/((x^2+1)*(x-1)^2)

  1. A fraction: the top of the fraction is a product containing 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to a sum containing 4 terms. The 1st term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is a power. The base is x. The exponent is three. The 2nd term of the sum is equal to a negative product of 2 factors. The 1st factor of the product is two. The 2nd factor of the product is a power. The base is x. The exponent is two. The 3rd term of the sum is equal to a product of 2 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is x. The 4th term of the sum is equal to negative two. The bottom of the fraction is a product that consists of 2 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 a power. The base is x. The exponent is two. The 2nd term of the sum is equal to one. The 2nd factor of the product is equal to a power. The base is a sum containing 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is negative one. The exponent is two.
  2. two times left bracket two multiplied by x raised to the power of three plus negative two multiplied by x raised to the power of two plus three times x plus negative two right bracket divided by left parenthesis x exponentiated by two plus one right parenthesis multiplied by opening brace x plus negative one closing brace raised to the power two.