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Created on: 2011-12-28

A sample problem solved by Quickmath online algebra solver

the best way to reduce a rational expression. | the way to simplify a rational expression; 1/4*z^2-1/6*z-(-5/24*z^2+1/12*z+(-23)/24)

Command

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Expression

2*x^3-5*x^2+x+2/x-1

  1. A sum of 5 terms. The 1st term of the sum is equal to a product that contains 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 three. The 2nd term of the sum is equal to a negative product comprising 2 factors. The 1st factor of the product is equal to five. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 3rd term of the sum is equal to x. The 4th term of the sum is equal to a fraction: the numerator of the fraction is two. The denominator of the fraction is x. The 5th term of the sum is equal to negative one.
  2. two times x exponentiated by three plus negative five multiplied by x exponentiated by two plus x plus two over x plus negative one.

  1. A sum containing 5 terms. The 1st term of the sum is equal to a product that comprises 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to 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 equal to five. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 3rd term of the sum is x. The 4th term of the sum is equal to a fraction: the top of the fraction is two. The bottom of the fraction is x. The 5th term of the sum is equal to negative one.
  2. two multiplied by x to the power three plus negative five multiplied by x exponentiated by two plus x plus two over x plus negative one.

Result

2*x^3-5*x^2+x+2/x-1

  1. A sum of 5 terms. The 1st term of the sum is equal to a product that contains 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 three. The 2nd term of the sum is equal to a negative product comprising 2 factors. The 1st factor of the product is equal to five. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 3rd term of the sum is equal to x. The 4th term of the sum is equal to a fraction: the numerator of the fraction is two. The denominator of the fraction is x. The 5th term of the sum is equal to negative one.
  2. two times x exponentiated by three plus negative five multiplied by x exponentiated by two plus x plus two over x plus negative one.

  1. A sum containing 5 terms. The 1st term of the sum is equal to a product that comprises 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to 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 equal to five. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 3rd term of the sum is x. The 4th term of the sum is equal to a fraction: the top of the fraction is two. The bottom of the fraction is x. The 5th term of the sum is equal to negative one.
  2. two multiplied by x to the power three plus negative five multiplied by x exponentiated by two plus x plus two over x plus negative one.