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Created on: 2012-04-05

A sample problem solved by Quickmath web math calculator

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Expression

(3*x^5-4*x^3+2*x^2+13*x+2)/(x^2+1)

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

Result

3*x^5/(x^2+1)-4*x^3/(x^2+1)+2*x^2/(x^2+1)+13*x/(x^2+1)+2/(x^2+1)

  1. A sum containing 5 terms; the 1st term of the sum is a quotient: dividend of the quotient is a product containing 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is a power; the base is x; the exponent is five; divisor of the quotient is a sum consisting of 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; the 2nd term of the sum is a negative rational expression: the numerator of the rational expression is a product that consists of 2 factors; the 1st factor of the product is equal to four; the 2nd factor of the product is a power; the base is x; the exponent is three; the denominator of the rational expression is a sum that consists of 2 terms; the 1st term of the sum is a power; the base is x; the exponent is two; the 2nd term of the sum is one; the 3rd term of the sum is a rational expression: the numerator of the rational expression is a product that consists of 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the denominator of the rational expression is a sum containing 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 4th term of the sum is a fraction: the numerator of the fraction is a product that comprises 2 factors; the 1st factor of the product is equal to thirteen; the 2nd factor of the product is x; the denominator of the fraction is a sum comprising 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 5th term of the sum is a quotient: dividend of the quotient is two; divisor of the quotient is a sum that consists of 2 terms; the 1st term of the sum is a power; the base is x; the exponent is two; the 2nd term of the sum is equal to one;
  2. three multiplied by x to the power of five divided by x to the power of two plus one plus negative four times x exponentiated by three divided by x raised to the power two plus one plus two times x raised to the power of two divided by x to the power two plus one plus thirteen multiplied by x fraction line x to the power of two plus one plus two over x raised to the power two plus one.