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Created on: 2012-02-22

A sample problem solved by Quickmath algebra solver

Command

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Expression

(x+1)*(x^2-(k+3)*x+3*k)

  1. A product consisting of 2 factors. The first factor of the product is a sum containing 2 terms. The first term of the sum is x. The second term of the sum is one. The second factor of the product is equal to a sum consisting of 3 terms. The first term of the sum is equal to a power. The base is x. The exponent is two. The second term of the sum is a negative product that comprises 2 factors. The first factor of the product is equal to a sum that consists of 2 terms. The first term of the sum is k. The second term of the sum is three. The second factor of the product is equal to x. The third term of the sum is a product that contains 2 factors. The first factor of the product is equal to three. The second factor of the product is equal to k.
  2. opening brace x plus one closing brace times opening brace x exponentiated by two plus negative left parenthesis k plus three right parenthesis times x plus three multiplied by k closing brace.

Result

x^3-k*x^2-2*x^2+2*k*x-3*x+3*k

  1. A sum that consists of 6 terms; the first term of the sum is a power ; the base is x; the exponent is three; the second term of the sum is equal to a negative product that consists of 2 factors; the first factor of the product is equal to k; the second factor of the product is a power; the base is x; the exponent is two; the third term of the sum is equal to a negative product containing 2 factors; the first factor of the product is equal to two; the second factor of the product is a power; the base is x; the exponent is two; the four term of the sum is equal to a product consisting of 3 factors; the first factor of the product is equal to two; the second factor of the product is k; the third factor of the product is equal to x; the five term of the sum is a negative product that consists of 2 factors; the first factor of the product is three; the second factor of the product is equal to x; the six term of the sum is equal to a product of 2 factors; the first factor of the product is three; the second factor of the product is equal to k;
  2. x to the power three plus negative k times x raised to the power two plus negative two times x raised to the power of two plus two multiplied by k multiplied by x plus negative three times x plus three times k.