Created on: 2012-02-20

Algebra : Partial Fractions

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Enter a rational function and click the Partial Fractions button.


A sample problem solved by Quickmath web math calculator

expand (a-b)*(a^2+a-b)

Command

Partial Fractions

Expression
(3*x+5)/((x+1)*(x^2+5*x+6))

  1. A quotient: dividend of the quotient is a sum that consists of 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 three. The 2nd factor of the product is equal to x. The 2nd term of the sum is five. Divisor of the quotient is a product that contains 2 factors. The 1st factor of the product is equal to a sum consisting of 2 terms. The 1st term of the sum is x. The 2nd term of the sum is equal to one. The 2nd factor of the product is a sum comprising 3 terms. The 1st term of the sum 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 five. The 2nd factor of the product is equal to x. The 3rd term of the sum is equal to six.
  2. three multiplied by x plus five fraction line opening bracket x plus one closing bracket multiplied by opening bracket x exponentiated by two plus five times x plus six closing bracket;
Result
-2/(x+3)+1/(x+2)+1/(x+1)

  1. A sum of 3 terms; the 1st term of the sum is equal to a rational expression: the top of the rational expression is negative two; the bottom of the rational expression is a sum comprising 2 terms; the 1st term of the sum is equal to x; the 2nd term of the sum is three; the 2nd term of the sum is equal to a rational expression: the numerator of the rational expression is one; the denominator of the rational expression 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 two; the 3rd term of the sum is equal to a fraction: the numerator of the fraction is one; the denominator of the fraction is a sum that consists of 2 terms; the 1st term of the sum is x; the 2nd term of the sum is equal to one;
  2. negative two over x plus three plus one fraction line x plus two plus one divided by x plus one.