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Created on: 2012-03-04

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 solver

Command

Partial Fractions

Expression
(2*x^3+5*x^2+4*x+1)/(x^3+x)

  1. A fraction: the numerator of the fraction is a sum of 4 terms; the first term of the sum is equal to a product of 2 factors; the first factor of the product is equal to two; the second factor of the product is a power; the base is x; the exponent is three; the second term of the sum is a product that consists of 2 factors; the first factor of the product is equal to five; the second factor of the product is equal to a power; the base is x; the exponent is two; the third term of the sum is equal to a product of 2 factors; the first factor of the product is four; the second factor of the product is equal to x; the four term of the sum is equal to one; the denominator of the fraction is a sum containing 2 terms; the first term of the sum is a power; the base is x; the exponent is three; the second term of the sum is equal to x;
  2. two times x raised to the power three plus five multiplied by x to the power of two plus four times x plus one over x raised to the power of three plus x;
Result
(4*x+2)/(x^2+1)+1/x+2

  1. A sum that consists of 3 terms; the first term of the sum is equal to a fraction: the top of the fraction is a sum that contains 2 terms; the first term of the sum is a product comprising 2 factors; the first factor of the product is equal to four; the second factor of the product is equal to x; the second term of the sum is equal to two; the bottom of the fraction is a sum that comprises 2 terms; the first term of the sum is a power; the base is x; the exponent is two; the second term of the sum is equal to one; the second term of the sum is equal to a fraction: the top of the fraction is one; the bottom of the fraction is x; the third term of the sum is equal to two;
  2. four times x plus two over x to the power of two plus one plus one divided by x plus two.
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