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Math Calculators
Partial Fraction Decomposition Calculator
Decompose a rational expression with two distinct linear factors in the denominator into two simpler partial fractions.
A (coefficient over x − a)
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B (coefficient over x − b)
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About the Partial Fraction Decomposition Calculator
Partial fraction decomposition rewrites a rational expression with a factored denominator as a sum of simpler fractions, one per factor. For two distinct linear factors, the numerator constants A and B can be found directly by substituting each root into the original numerator.
Formula: (mx + n) / ((x−a)(x−b)) = A/(x−a) + B/(x−b), where A = (ma + n)/(a−b) and B = (mb + n)/(b−a)
This technique is widely used to simplify integration and inverse Laplace transform problems in calculus and engineering.
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