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Created on: 2011-11-28

A sample problem solved by Quickmath web algebra solver

Command

Expand

Expression

(2*x-4)*(4*x^2-7*x*y+2*y^2)

  1. A product consisting of 2 factors. The first factor of the product is a sum that comprises 2 terms. The first term of the sum is a product that consists of 2 factors. The first factor of the product is equal to two. The second factor of the product is equal to x. The second term of the sum is equal to negative four. The second factor of the product is equal to a sum consisting of 3 terms. The first term of the sum is a product containing 2 factors. The first factor of the product is equal to four. 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 contains 3 factors. The first factor of the product is equal to seven. The second factor of the product is x. The third factor of the product is equal to y. The third 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 a power. The base is y. The exponent is two.
  2. open brace two times x plus negative four close brace multiplied by open bracket four multiplied by x raised to the power two plus negative seven times x multiplied by y plus two multiplied by y exponentiated by two close bracket.

Result

4*x*y^2-8*y^2-14*x^2*y+28*x*y+8*x^3-16*x^2

  1. A sum that comprises 6 terms; the first term of the sum is equal to a product comprising 3 factors; the first factor of the product is equal to four; 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 two; the second term of the sum is equal to a negative product that consists of 2 factors; the first factor of the product is eight; 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 a negative product consisting of 3 factors; the first factor of the product is fourteen; 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 equal to y; the four term of the sum is equal to a product that contains 3 factors; the first factor of the product is twenty eight; the second factor of the product is equal to x; the third factor of the product is equal to y; the five term of the sum is equal to a product comprising 2 factors; the first factor of the product is eight; the second factor of the product is a power; the base is x; the exponent is three; the six term of the sum is a negative product that consists of 2 factors; the first factor of the product is sixteen; the second factor of the product is equal to a power; the base is x; the exponent is two;
  2. four times x times y exponentiated by two plus negative eight multiplied by y exponentiated by two plus negative fourteen times x to the power of two times y plus twenty eight multiplied by x multiplied by y plus eight multiplied by x raised to the power of three plus negative sixteen multiplied by x to the power of two.