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Created on: 2012-03-20

A sample problem solved by Quickmath math solver

Command

Factor

Expression

18*x^3*y^2+3*x^2*y^3+(-6)*x*y^4

  1. A sum that comprises 3 terms. The first term of the sum is equal to a product of 3 factors. The first factor of the product is equal to eighteen. The second factor of the product is equal to a power. The base is x. The exponent is three. The third factor of the product is equal to a power. The base is y. The exponent is two. The second term of the sum is equal to a product comprising 3 factors. The first factor of the product is three. The second factor of the product is equal to a power. The base is x. The exponent is two. The third factor of the product is a power. The base is y. The exponent is three. The third term of the sum is equal to a product that contains 3 factors. The first factor of the product is equal to negative six. The second factor of the product is equal to x. The third factor of the product is a power. The base is y. The exponent is four.
  2. eighteen multiplied by x to the power of three multiplied by y raised to the power of two plus three times x raised to the power of two multiplied by y to the power three plus opening bracket negative six closing bracket multiplied by x times y raised to the power four.

Result

-3*x*y^2*(y-2*x)*(2*y+3*x)

  1. A product that consists of 5 factors. The first factor of the product is equal to negative three. The second factor of the product is equal to x. The third factor of the product is equal to a power. The base is y. The exponent is two. The four factor of the product is a sum comprising 2 terms. The first term of the sum is equal to y. The second term of the sum is a negative product of 2 factors. The first factor of the product is two. The second factor of the product is x. The five factor of the product is equal to a sum consisting of 2 terms. The first term of the sum is equal to a product that comprises 2 factors. The first factor of the product is equal to two. The second factor of the product is equal to y. The second term of the sum is equal to a product that contains 2 factors. The first factor of the product is three. The second factor of the product is x.
  2. negative three multiplied by x multiplied by y to the power of two times opening brace y plus negative two multiplied by x closing brace times open bracket two times y plus three times x close bracket.