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Created on: 2012-03-18

A sample problem solved by Quickmath algebra calculator

Command

Factor

Expression

(8*x^3+216)*(4*x^2-81)*(x^2+6*x+8)

  1. A product that contains 3 factors. The first factor of the product is equal to a sum that consists of 2 terms. The first term of the sum is a product consisting of 2 factors. The first factor of the product is equal to eight. The second factor of the product is a power . The base is x. The exponent is three. The second term of the sum is equal to two hundred and sixteen. The second factor of the product is a sum containing 2 terms. The first term of the sum is equal to a product that contains 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 negative eighty one. The third factor of the product is equal to a sum that consists of 3 terms. The first term of the sum is a power. The base is x. The exponent is two. The second term of the sum is equal to a product containing 2 factors. The first factor of the product is six. The second factor of the product is equal to x. The third term of the sum is equal to eight.
  2. left brace eight multiplied by x raised to the power of three plus two hundred and sixteen right brace times left bracket four times x raised to the power two plus negative eighty one right bracket times opening bracket x raised to the power two plus six times x plus eight closing bracket.

Result

8*(x+2)*(x+3)*(x+4)*(2*x-9)*(2*x+9)*(x^2-3*x+9)

  1. A product containing 7 factors; the first factor of the product is equal to eight; the second factor of the product is equal to a sum containing 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to two; the third factor of the product is equal to a sum of 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to three; the four factor of the product is equal to a sum of 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to four; the five factor of the product is equal to a sum consisting of 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 negative nine; the six factor of the product is equal to a sum consisting of 2 terms; the first term of the sum is equal to a product 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 nine; the seven factor of the product is equal to a sum 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 consists of 2 factors; the first factor of the product is equal to three; the second factor of the product is x; the third term of the sum is equal to nine;
  2. eight times left brace x plus two right brace multiplied by left parenthesis x plus three right parenthesis multiplied by opening brace x plus four closing brace multiplied by open bracket two times x plus negative nine close bracket times left parenthesis two times x plus nine right parenthesis multiplied by open bracket x to the power two plus negative three multiplied by x plus nine close bracket.