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Created on: 2011-12-13

A sample problem solved by Quickmath web math calculator

result of finding solution to an inequality 6*x-2 > 5*x-7 | study how to multiply out a sum of 3 terms. ((a+b)/2)^2-(a-b)^2

Command

Join fractions

Expression

x/(x-1)/3*x+2/((x+1)*(x-1))

  1. A sum that contains 2 terms. The first term of the sum is equal to a product that contains 2 factors. The first factor of the product is a fraction: the top of the fraction is a rational expression: the top of the rational expression is x. The bottom of the rational expression is a sum that consists of 2 terms. The first term of the sum is x. The second term of the sum is equal to negative one. The bottom of the fraction is three. The second factor of the product is equal to x. The second term of the sum is equal to a quotient: dividend of the quotient is two. Divisor of the quotient is a product that consists of 2 factors. The first factor of the product is equal to a sum that comprises 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 a sum containing 2 terms. The first term of the sum is x. The second term of the sum is equal to negative one.
  2. x fraction line x plus negative one divided by three times x plus two fraction line open parenthesis x plus one close parenthesis multiplied by opening bracket x plus negative one closing bracket;

Result

(x^3+x^2+6)/(3*(x+1)*(x-1))

  1. A rational expression: the top of the rational expression is a sum containing 3 terms. The first term of the sum is equal to a power. The base is x. The exponent is three. The second term of the sum is equal to a power. The base is x. The exponent is two. The third term of the sum is equal to six. The bottom of the rational expression is a product that contains 3 factors. The first factor of the product is equal to three. The second factor of the product is a sum containing 2 terms. The first term of the sum is equal to x. The second term of the sum is equal to one. The third factor of the product is a sum comprising 2 terms. The first term of the sum is x. The second term of the sum is negative one.
  2. x raised to the power of three plus x to the power two plus six fraction line three multiplied by opening brace x plus one closing brace times opening parenthesis x plus negative one closing parenthesis;