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Created on: 2012-01-10

A sample problem solved by Quickmath web math calculator

Command

Expand

Expression

(x+y)*x^2-(x-y)*y^2+x*y*(y-x)

  1. A sum that comprises 3 terms; the first term of the sum is equal to a product comprising 2 factors; the first factor of the product is a sum of 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to y; the second factor of the product is equal to a power; the base is x; the exponent is two; the second term of the sum is equal to a negative product that comprises 2 factors; the first factor of the product is equal to a sum consisting of 2 terms; the first term of the sum is x; the second term of the sum is equal to negative y; the second factor of the product is equal to a power; the base is y; the exponent is two; the third term of the sum is equal to a product that consists of 3 factors; the first factor of the product is equal to x; the second factor of the product is equal to y; the third factor of the product is equal to a sum comprising 2 terms; the first term of the sum is equal to y; the second term of the sum is equal to negative x;
  2. opening brace x plus y closing brace times x raised to the power two plus negative opening brace x plus negative y closing brace times y raised to the power of two plus x multiplied by y multiplied by opening parenthesis y plus negative x closing parenthesis.

Result

y^3+x^3

  1. A sum comprising 2 terms; the first term of the sum is a power; the base is y; the exponent is three; the second term of the sum is equal to a power; the base is x; the exponent is three;
  2. y to the power of three plus x to the power of three.