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Created on: 2011-12-05

A sample problem solved by Quickmath algebra calculator

investigate the way to multiply out a sum of 5 terms. (-3-x)*(3-x)*((-23-x)*(26-x)+576)

Command

Factor

Expression

(4*a^3+16*a^2)/(4*a^2+12*a)*((a^2-a-12)/(a^3-16*a))*((a^3+8)/(a^2-2*a+4))

  1. A product of 3 factors; the first factor of the product is equal to a fraction: the numerator of the fraction is a sum that comprises 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 a; the exponent is three; the second term of the sum is equal to a product consisting of 2 factors; the first factor of the product is equal to sixteen; the second factor of the product is equal to a power; the base is a; the exponent is two; the denominator of the fraction is a sum 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 four; the second factor of the product is equal to a power; the base is a; the exponent is two; the second term of the sum is a product that comprises 2 factors; the first factor of the product is equal to twelve; the second factor of the product is a; the second factor of the product is equal to a rational expression: the numerator of the rational expression is a sum consisting of 3 terms; the first term of the sum is a power; the base is a; the exponent is two; the second term of the sum is equal to a negative; the third term of the sum is negative twelve; the denominator of the rational expression is a sum that consists of 2 terms; the first term of the sum is a power; the base is a; the exponent is three; the second term of the sum is a negative product that contains 2 factors; the first factor of the product is equal to sixteen; the second factor of the product is equal to a; the third factor of the product is equal to a rational expression: the numerator of the rational expression is a sum that consists of 2 terms; the first term of the sum is equal to a power; the base is a; the exponent is three; the second term of the sum is equal to eight; the denominator of the rational expression is a sum that contains 3 terms; the first term of the sum is a power; the base is a; the exponent is two; the second term of the sum is equal to a negative 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; the third term of the sum is equal to four;
  2. four times a raised to the power three plus sixteen times a to the power two fraction line four times a exponentiated by two plus twelve times a multiplied by left brace a to the power of two plus a negative plus negative twelve divided by a raised to the power of three plus negative sixteen multiplied by a right brace times left parenthesis a exponentiated by three plus eight fraction line a to the power of two plus negative two multiplied by a plus four right parenthesis.

Result

a+2

  1. A sum containing 2 terms; the first term of the sum is a; the second term of the sum is two;
  2. a plus two;