QuickMath Download on App Store Download on Google Play
Welcome to Quickmath Solvers! Download on App Store Download on Google Play
Created on: 2012-01-15

A sample problem solved by Quickmath web math solver

Command

Partial Fractions

Expression
(x-3)/(2*x+6)-(x+3)/(3*x-9)-5*x^2+27/(6*x^2)-54

  1. A sum that contains 5 terms. The 1st term of the sum is equal to a fraction: the top of the fraction is a sum that contains 2 terms. The 1st term of the sum is equal to x. The 2nd term of the sum is equal to negative three. The bottom of the fraction is a sum containing 2 terms. The 1st term of the sum is a product that comprises 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 equal to six. The 2nd term of the sum is equal to a negative rational expression: the numerator of the rational expression is a sum that comprises 2 terms. The 1st term of the sum is x. The 2nd term of the sum is equal to three. The denominator of the rational expression is a sum of 2 terms. The 1st term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is x. The 2nd term of the sum is negative nine. The 3rd term of the sum is equal to a negative product that comprises 2 factors. The 1st factor of the product is equal to five. The 2nd factor of the product is a power. The base is x. The exponent is two. The 4th term of the sum is equal to a quotient: dividend of the quotient is twenty seven. Divisor of the quotient is a product that comprises 2 factors. The 1st factor of the product is six. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 5th term of the sum is negative fifty four.
  2. x plus negative three divided by two times x plus six plus negative x plus three over three multiplied by x plus negative nine plus negative five times x to the power two plus twenty seven over six times x raised to the power of two plus negative fifty four.
Result
-3/(x+3)-(30*x^2+323)/6+9/(2*x^2)-2/(x-3)

  1. A sum consisting of 4 terms; the 1st term of the sum is equal to a quotient: dividend of the quotient is negative three; divisor of the quotient is a sum that consists of 2 terms; the 1st term of the sum is equal to x; the 2nd term of the sum is equal to three; the 2nd term of the sum is equal to a negative quotient: dividend of the quotient 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 equal to thirty; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 2nd term of the sum is equal to three hundred and twenty three; divisor of the quotient is six; the 3rd term of the sum is equal to a fraction: the top of the fraction is nine; the bottom of the fraction is a product of 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is a power; the base is x; the exponent is two; the 4th term of the sum is equal to a negative quotient: dividend of the quotient is two; divisor of the quotient is a sum that comprises 2 terms; the 1st term of the sum is x; the 2nd term of the sum is equal to negative three;
  2. negative three divided by x plus three plus negative thirty times x raised to the power of two plus three hundred and twenty three fraction line six plus nine fraction line two times x raised to the power two plus negative two over x plus negative three.