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Created on: 2012-02-26

A sample problem solved by Quickmath web math solver

Command

Expand

Expression

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

  1. A fraction: the numerator of the fraction is a sum consisting of 2 terms. The first term of the sum is equal to a power. The base is 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 one. The exponent is a fraction: the numerator of the fraction is one. The denominator of the fraction is two. The second term of the sum is equal to a negative power. The base is x. The exponent is two. The denominator of the fraction is a power. The base is a sum containing 2 terms. The first term of the sum is a power. The base is x. The exponent is two. The second term of the sum is equal to one. The exponent is a rational expression: the top of the rational expression is three. The bottom of the rational expression is two.
  2. left parenthesis x to the power two plus one right parenthesis raised to the power one divided by two plus negative x raised to the power two fraction line opening parenthesis x exponentiated by two plus one closing parenthesis to the power three over two.

Result

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

  1. A sum that consists of 2 terms; the first term of the sum is equal to a fraction: the top of the fraction is one; the bottom of the fraction is 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 equal to one; the second term of the sum is equal to a negative quotient: dividend of the quotient is a power; the base is x; the exponent is two; divisor of the quotient is a power; the base is a sum containing 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 one; the exponent is a fraction: the top of the fraction is three; the bottom of the fraction is two;
  2. one over x raised to the power two plus one plus negative x raised to the power two fraction line left parenthesis x raised to the power of two plus one right parenthesis raised to the power three over two;