Algebra
Advanced

Partial Fraction Setup

Decompose a rational expression into simpler fractions.

Formula

1(x−a)(x−b)=Ax−a+Bx−b\frac{1}{(x-a)(x-b)} = \frac{A}{x-a} + \frac{B}{x-b}

Variables

a,bRoots
A,BConstants

Example

Used before integrating rational functions

Did You Know?

Partial fractions break a messy rational expression into simple pieces — indispensable for integration and control theory.

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