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Created on: 2011-11-29

A sample problem solved by Quickmath web algebra solver

Command

Expand

Expression

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

  1. A sum consisting of 2 terms; the 1st term of the sum is equal to a power; the base is a rational expression: the numerator of the rational expression is a sum of 2 terms; the 1st term of the sum is equal to a; the 2nd term of the sum is equal to b; the denominator of the rational expression is two; the exponent is two; the 2nd term of the sum is a negative 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 two;
  2. left bracket a plus b divided by two right bracket raised to the power two plus negative open parenthesis a plus negative b close parenthesis to the power two.

Result

-3*b^2/4+5*a*b/2-3*a^2/4

  1. A sum that comprises 3 terms; the 1st term of the sum is equal to a quotient: dividend of the quotient is a product consisting of 2 factors; the 1st factor of the product is equal to negative three; the 2nd factor of the product is a power; the base is b; the exponent is two; divisor of the quotient is four; the 2nd term of the sum is a rational expression: the numerator of the rational expression is a product that contains 3 factors; the 1st factor of the product is equal to five; the 2nd factor of the product is equal to a; the 3rd factor of the product is b; the denominator of the rational expression is two; the 3rd term of the sum is equal to a negative fraction: the numerator of the fraction is a product consisting 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 a; the exponent is two; the denominator of the fraction is four;
  2. negative three multiplied by b to the power of two fraction line four plus five multiplied by a multiplied by b over two plus negative three times a to the power of two fraction line four;