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Created on: 2012-01-03

A sample problem solved by Quickmath web algebra solver

how to cancel (3*x^2+6*x)/(12*x)

Command

Simplify

Expression
(6*x^2+10)/(x-3)/(15*x^2+25)/(x^2-9)

  1. A quotient: dividend of the quotient is a fraction: the top of the fraction is a rational expression: the numerator of the rational expression is a sum consisting of 2 terms. The 1st term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is six. 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 ten. The denominator of the rational expression is a sum that comprises 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is negative three. The bottom of the fraction 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 fifteen. 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 twenty five. Divisor of the quotient is a sum that consists of 2 terms. The 1st term of the sum is equal to a power. The base is x. The exponent is two. The 2nd term of the sum is equal to negative nine.
  2. six multiplied by x exponentiated by two plus ten fraction line x plus negative three divided by fifteen times x raised to the power of two plus twenty five divided by x raised to the power two plus negative nine.
Result
2/(5*x^3-15*x^2-45*x+135)

  1. A fraction: the numerator of the fraction is two; the denominator of the fraction is a sum comprising 4 terms; the 1st term of the sum is equal to a product of 2 factors; the 1st factor of the product is 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 a negative product comprising 2 factors; the 1st factor of the product is equal to fifteen; the 2nd factor of the product is a power; the base is x; the exponent is two; the 3rd term of the sum is equal to a negative product that comprises 2 factors; the 1st factor of the product is forty five; the 2nd factor of the product is equal to x; the 4th term of the sum is equal to one hundred thirty five;
  2. two over five multiplied by x raised to the power three plus negative fifteen times x raised to the power two plus negative forty five times x plus one hundred thirty five.