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Created on: 2012-02-22

Algebra : Partial Fractions

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Enter a rational function and click the Partial Fractions button.


A sample problem solved by Quickmath online algebra calculator

factor x^2-10*x+16

Command

Partial Fractions

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

  1. A fraction: the numerator of the fraction is a sum comprising 3 terms. The first term of the sum is equal to a power. The base is x. The exponent is two. The second term of the sum is equal to x. The third term of the sum is one. The denominator of the fraction is a sum that consists of 3 terms. The first term of the sum is equal to a power. The base is x. The exponent is two. The second term of the sum is equal to a product of 2 factors. The first factor of the product is two. The second factor of the product is x. The third term of the sum is negative three.
  2. x to the power two plus x plus one divided by x raised to the power two plus two multiplied by x plus negative three.
Result
-7/(4*(x+3))+3/(4*(x-1))+1

  1. A sum comprising 3 terms. The first term of the sum is a rational expression: the top of the rational expression is negative seven. The bottom of the rational expression is a product that contains 2 factors. The first factor of the product is equal to four. The second factor of the product is equal to a sum that comprises 2 terms. The first term of the sum is equal to x. The second term of the sum is three. The second term of the sum is equal to a quotient: dividend of the quotient is three. Divisor of the quotient is a product of 2 factors. The first factor of the product is equal to four. The second factor of the product is a sum that consists of 2 terms. The first term of the sum is equal to x. The second term of the sum is negative one. The third term of the sum is equal to one.
  2. negative seven over four times open brace x plus three close brace plus three over four multiplied by opening brace x plus negative one closing brace plus one;