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Created on: 2012-04-11

A sample problem solved by Quickmath web algebra solver

Command

Factor

Expression

(4*x^2+12*x+9)/(5*x^3-2*x^2)/((14*x^2+21*x)/(10*x^2*y^2))

  1. A fraction: the top of the fraction is a rational expression: the numerator of the rational expression is a sum consisting of 3 terms; the 1st term of the sum is equal to a product that contains 2 factors; the 1st factor of the product is four; the 2nd factor of the product is a power; the base is x; the exponent is two; the 2nd term of the sum is a product containing 2 factors; the 1st factor of the product is equal to twelve; the 2nd factor of the product is equal to x; the 3rd term of the sum is equal to nine; the denominator of the rational expression is a sum that comprises 2 terms; the 1st term of the sum is a product comprising 2 factors; the 1st factor of the product is equal to five; the 2nd factor of the product is equal to a power; the base is x; the exponent is three; the 2nd term of the sum is equal to a negative product that comprises 2 factors; the 1st factor of the product is two; the 2nd factor of the product is a power; the base is x; the exponent is two; the bottom of the fraction is a rational expression: the top of the rational expression is a sum that comprises 2 terms; the 1st term of the sum is equal to a product that consists of 2 factors; the 1st factor of the product is equal to fourteen; the 2nd factor of the product is a power; the base is x; the exponent is two; the 2nd term of the sum is equal to a product that consists of 2 factors; the 1st factor of the product is equal to twenty one; the 2nd factor of the product is equal to x; the bottom of the rational expression is a product comprising 3 factors; the 1st factor of the product is ten; the 2nd factor of the product is a power; the base is x; the exponent is two; the 3rd factor of the product is a power; the base is y; the exponent is two;
  2. four times x raised to the power of two plus twelve multiplied by x plus nine divided by five multiplied by x raised to the power three plus negative two times x to the power of two divided by fourteen times x to the power two plus twenty one multiplied by x divided by ten times x exponentiated by two times y to the power two;

Result

10*(2*x+3)*y^2/(7*x*(5*x-2))

  1. A fraction: the numerator of the fraction is a product consisting of 3 factors; the 1st factor of the product is equal to ten; the 2nd factor of the product is equal to a sum that comprises 2 terms; the 1st term of the sum is equal to a product that consists of 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to x; the 2nd term of the sum is three; the 3rd factor of the product is equal to a power; the base is y; the exponent is two; the denominator of the fraction is a product that consists of 3 factors; the 1st factor of the product is equal to seven; the 2nd factor of the product is equal to x; the 3rd factor of the product is equal to a sum of 2 terms; the 1st term of the sum is a product consisting of 2 factors; the 1st factor of the product is equal to five; the 2nd factor of the product is x; the 2nd term of the sum is negative two;
  2. ten times open parenthesis two times x plus three close parenthesis times y to the power of two divided by seven multiplied by x times open brace five times x plus negative two close brace.