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Created on: 2012-04-01

A sample problem solved by Quickmath online algebra solver

assistance with adding a fraction. 1/(x-1)^2+4/(x-1)+(-1)*(x^2+1) | how to reduce 3*z2+8*z-1-(2*z2+5*z-3)

Command

Simplify

Expression
(a+b)^(1/2)-(a-b)^(1/2)/((a+b)^(1/2)+(a-b)^(1/2))

  1. A sum that comprises 2 terms. The 1st term of the sum is equal to a power. The base is a sum consisting of 2 terms. The 1st term of the sum is equal to a. The 2nd term of the sum is equal to b. The exponent is a rational expression: the numerator of the rational expression is one. The denominator of the rational expression is two. The 2nd term of the sum is equal to a negative rational expression: the top of the rational expression is a power. The base is a sum comprising 2 terms. The 1st term of the sum is a. The 2nd term of the sum is equal to negative b. The exponent is a rational expression: the numerator of the rational expression is one. The denominator of the rational expression is two. The bottom of the rational expression is a sum containing 2 terms. The 1st term of the sum is equal to a power. The base is a sum containing 2 terms. The 1st term of the sum is equal to a. The 2nd term of the sum is b. The exponent is a fraction: the numerator of the fraction is one . The denominator of the fraction is two. The 2nd term of the sum is a power. The base is a sum that comprises 2 terms. The 1st term of the sum is equal to a. The 2nd term of the sum is equal to negative b. The exponent is a rational expression: the top of the rational expression is one. The bottom of the rational expression is two.
  2. left parenthesis a plus b right parenthesis to the power one divided by two plus negative left brace a plus negative b right brace to the power of one fraction line two fraction line open bracket a plus b close bracket raised to the power of one over two plus open brace a plus negative b close brace raised to the power one fraction line two;
Result
(sqrt(a-b)*(sqrt(b+a)-1)+b+a)/(sqrt(b+a)+sqrt(a-b))

  1. A quotient: dividend of the quotient is a sum consisting of 3 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 square root of a sum that consists of 2 terms; the 1st term of the sum is a; the 2nd term of the sum is equal to negative b; the 2nd factor of the product is equal to a sum that comprises 2 terms; the 1st term of the sum is equal to square root of a sum that contains 2 terms; the 1st term of the sum is equal to b; the 2nd term of the sum is a; the 2nd term of the sum is equal to negative one; the 2nd term of the sum is equal to b; the 3rd term of the sum is a; divisor of the quotient is a sum containing 2 terms; the 1st term of the sum is equal to square root of a sum comprising 2 terms; the 1st term of the sum is b; the 2nd term of the sum is equal to a; the 2nd term of the sum is equal to square root of a sum that contains 2 terms; the 1st term of the sum is a; the 2nd term of the sum is negative b;
  2. square root of a plus negative b multiplied by opening parenthesis square root of b plus a plus negative one closing parenthesis plus b plus a fraction line square root of b plus a plus square root of a plus negative b.