Mathlean · Online math workspace

Partial fraction calculator

Decompose a rational expression into simpler fractions.

How to use this calculator

Edit PartialFraction(expression,variable). The starter splits 1/(x squared−1).

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

PartialFraction⁡(1x2−1,x)\operatorname{PartialFraction}\left(\frac{1}{x^2-1},x\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

The decomposition retains the original poles; algebraic rewriting does not fill excluded domain points.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

Browse all calculators and editors