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Created on: 2012-01-08

A sample problem solved by Quickmath web math calculator

Command

Expand

Expression

(x-sqrt(-3))*(x-3*sqrt(3))

  1. A product containing 2 factors; the first factor of the product is equal to a sum consisting of 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to negative square root of negative three; the second factor of the product is equal to a sum consisting of 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to a negative product of 2 factors; the first factor of the product is three; the second factor of the product is equal to square root of three;
  2. left brace x plus negative square root of negative three right brace multiplied by opening bracket x plus negative three times square root of three closing bracket;

Result

x^2-sqrt(3)*%i*x-3^(3/2)*x+9*%i

  1. A sum that contains 4 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 negative product that contains 3 factors. The first factor of the product is square root of three. The second factor of the product is i. The third factor of the product is x. The third term of the sum is equal to a negative product comprising 2 factors. The first factor of the product is equal to a power. The base is three. The exponent is a rational expression: the numerator of the rational expression is three. The denominator of the rational expression is two. The second factor of the product is equal to x. The four term of the sum is equal to a product of 2 factors. The first factor of the product is equal to nine. The second factor of the product is equal to i.
  2. x exponentiated by two plus negative square root of three times i multiplied by x plus negative three raised to the power of three over two multiplied by x plus nine multiplied by i.