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Created on: 2012-04-05

A sample problem solved by Quickmath algebra calculator

Command

Simplify

Expression
2*x^3-8*%i*x^2+7*x+2+(-3)*%i/(x-2*%i)

  1. A sum that comprises 5 terms; the first term of the sum is a product that comprises 2 factors; the first factor of the product is two; the second factor of the product is equal to a power; the base is x; the exponent is three; the second term of the sum is equal to a negative product of 3 factors; the first factor of the product is equal to eight; the second factor of the product is equal to i; the third factor of the product is a power; the base is x; the exponent is two; the third term of the sum is a product of 2 factors; the first factor of the product is equal to seven; the second factor of the product is equal to x; the four term of the sum is two; the five term of the sum is equal to a rational expression: the numerator of the rational expression is a product that contains 2 factors; the first factor of the product is equal to negative three; the second factor of the product is equal to i; the denominator of the rational expression is 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 comprising 2 factors; the first factor of the product is equal to two; the second factor of the product is i;
  2. two multiplied by x to the power three plus negative eight times i multiplied by x raised to the power of two plus seven multiplied by x plus two plus opening bracket negative three closing bracket multiplied by i over x plus negative two multiplied by i.
Result
(2*x^4-12*%i*x^3-9*x^2+(2-14*%i)*x-7*%i)/(x-2*%i)

  1. A fraction: the numerator of the fraction is a sum that consists of 5 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 a power. The base is x. The exponent is four. The second term of the sum is equal to a negative product comprising 3 factors. The first factor of the product is twelve. The second factor of the product is equal to i. The third factor of the product is equal to a power. The base is x. The exponent is three. The third term of the sum is equal to a negative product that comprises 2 factors. The first factor of the product is equal to nine. The second factor of the product is a power. The base is x. The exponent is two. The four term of the sum is a product that comprises 2 factors. The first factor of the product is equal to a sum consisting of 2 terms. The first term of the sum is two. The second term of the sum is equal to a negative product comprising 2 factors. The first factor of the product is fourteen. The second factor of the product is i. The second factor of the product is equal to x. The five term of the sum is equal to a negative product containing 2 factors. The first factor of the product is equal to seven. The second factor of the product is equal to i. The denominator of the fraction is a sum containing 2 terms. The first term of the sum is x. The second term of the sum is equal to a negative product of 2 factors. The first factor of the product is equal to two. The second factor of the product is i.
  2. two multiplied by x exponentiated by four plus negative twelve times i times x to the power of three plus negative nine times x to the power of two plus open parenthesis two plus negative fourteen multiplied by i close parenthesis times x plus negative seven times i fraction line x plus negative two times i.