Calculator
This calculator helps you perform partial fraction decomposition of rational expressions, ideal for students and professionals in mathematics and engineering.
Results
Data Source and Methodology
All calculations are based on standard algebraic methods for partial fraction decomposition. Please refer to Wikipedia for more information.
The Formula Explained
For a rational function \( \frac{P(x)}{Q(x)} \), partial fraction decomposition breaks it into simpler fractions.
Glossary of Terms
- Expression: The rational expression to decompose.
- Decomposition: The process of breaking down a complex fraction into simpler parts.
How It Works: A Step-by-Step Example
Consider \( \frac{2x+3}{x^2+x} \). The decomposition is \( \frac{A}{x} + \frac{B}{x+1} \), solved by equating coefficients.
Frequently Asked Questions (FAQ)
What is partial fraction decomposition?
It is a method to express a rational function as a sum of simpler fractions.
Why use partial fraction decomposition?
It simplifies complex fractions, making integration and other calculations easier.
What are the limitations?
This method requires the denominator to be factorable over the real numbers.
How accurate is this calculator?
It uses standard algebraic techniques and is as accurate as manual calculations.
Can I decompose any fraction?
Only rational expressions where the degree of the numerator is less than the denominator can be decomposed.