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Created on: 2012-02-14

A sample problem solved by Quickmath web algebra solver

Command

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Expression

(4*x^3+2*x-3)*(2*x^4+3*x^2-5)

  1. A product consisting of 2 factors; the 1st factor of the product is equal to a sum containing 3 terms; the 1st term of the sum is a product that contains 2 factors; the 1st factor of the product is equal to four; the 2nd factor of the product is equal to a power ; the base is x; the exponent is three; the 2nd term of the sum is equal to a product containing 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to x; the 3rd term of the sum is negative three; the 2nd factor of the product is equal to a sum that comprises 3 terms; the 1st term of the sum is a product of 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to a power; the base is x; the exponent is four; the 2nd term of the sum is equal to a product that consists of 2 factors; the 1st factor of the product is three; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 3rd term of the sum is equal to negative five;
  2. left parenthesis four times x raised to the power of three plus two times x plus negative three right parenthesis multiplied by open bracket two multiplied by x to the power of four plus three times x raised to the power two plus negative five close bracket.

Result

8*x^7+16*x^5-6*x^4-14*x^3-9*x^2-10*x+15

  1. A sum that comprises 7 terms. The 1st term of the sum is a product that contains 2 factors. The 1st factor of the product is equal to eight. The 2nd factor of the product is equal to a power. The base is x. The exponent is seven. The 2nd term of the sum is a product that comprises 2 factors. The 1st factor of the product is equal to sixteen. The 2nd factor of the product is equal to a power. The base is x. The exponent is five. The 3rd term of the sum is equal to a negative product of 2 factors. The 1st factor of the product is equal to six. The 2nd factor of the product is a power. The base is x. The exponent is four. The 4th term of the sum is equal to a negative product that consists of 2 factors. The 1st factor of the product is equal to fourteen. The 2nd factor of the product is a power. The base is x. The exponent is three. The 5th term of the sum is equal to a negative product comprising 2 factors. The 1st factor of the product is equal to nine. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 6th term of the sum is equal to a negative product that comprises 2 factors. The 1st factor of the product is equal to ten. The 2nd factor of the product is equal to x. The 7th term of the sum is fifteen.
  2. eight multiplied by x raised to the power seven plus sixteen multiplied by x to the power of five plus negative six multiplied by x to the power of four plus negative fourteen multiplied by x exponentiated by three plus negative nine multiplied by x to the power of two plus negative ten multiplied by x plus fifteen.