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Created on: 2011-12-06

A sample problem solved by Quickmath online math solver

Command

Simplify

Expression
(6*x^2*y+18*x^2*y^2+(-x)*y^2)/(6*x*y)

  1. A fraction: the top of the fraction is a sum that comprises 3 terms; the 1st term of the sum is equal to a product that consists of 3 factors; the 1st factor of the product is equal to six; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 3rd factor of the product is equal to y; the 2nd term of the sum is equal to a product containing 3 factors; the 1st factor of the product is equal to eighteen; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 3rd factor of the product is a power; the base is y; the exponent is two; the 3rd term of the sum is a product consisting of 2 factors; the 1st factor of the product is equal to negative x; the 2nd factor of the product is equal to a power; the base is y; the exponent is two; the bottom of the fraction is a product that comprises 3 factors; the 1st factor of the product is six; the 2nd factor of the product is x; the 3rd factor of the product is equal to y;
  2. six multiplied by x raised to the power of two times y plus eighteen multiplied by x to the power of two multiplied by y raised to the power two plus opening brace negative x closing brace multiplied by y to the power two divided by six times x multiplied by y;
Result
((18*x-1)*y+6*x)/6

  1. A quotient: dividend of the quotient is a sum of 2 terms; the 1st term of the sum is a product that contains 2 factors; the 1st factor of the product is a sum consisting of 2 terms; the 1st term of the sum is equal to a product containing 2 factors; the 1st factor of the product is equal to eighteen; the 2nd factor of the product is equal to x; the 2nd term of the sum is equal to negative one; the 2nd factor of the product is y; the 2nd term of the sum is equal to a product of 2 factors; the 1st factor of the product is six; the 2nd factor of the product is x; divisor of the quotient is six;
  2. left brace eighteen times x plus negative one right brace times y plus six multiplied by x fraction line six.