Partial Fraction Decomposition Calculator
Result
Partial Fractions for Two Distinct Linear Factors — numeric demonstration within stated assumptions.
Formula
- Limited to a rational expression with two distinct real linear factors and constant numerator 1; not a general polynomial decomposition solver. Roots a and b must differ. Formula: 1/((x−a)(x−b)) = [1/(a−b)]/(x−a) + [1/(b−a)]/(x−b)
- The main inputs are Root a, Root b. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Partial Fraction Decomposition
- Root a: 1
- Root b: 3
For the default example inputs, primary result = -0.5.
Sample result: Calculating…
Frequently asked questions
What does the Partial Fraction Decomposition calculate?
Partial Fractions for Two Distinct Linear Factors — numeric demonstration within stated assumptions.
Which values should I enter?
Enter Root a, Root b using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: 1/((x−a)(x−b)) = [1/(a−b)]/(x−a) + [1/(b−a)]/(x−b).
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.