The calculator allows a rational fraction to be broken down into simple elements.

partial_fraction_decomposition(`(x^2+x+1)/x`) returns `1+x+1/x`

partial_fraction_decomposition(`(x^4)/(-1+x^2)`) = `1+x^2+1/(2*(-1+x))-1/(2*(1+x))`

partial_fraction_decomposition(`(x^2+x+1)/x`) returns `1+x+1/x`

partial_fraction_decomposition(`(x^4)/(-1+x^2)`) = `1+x^2+1/(2*(-1+x))-1/(2*(1+x))`

The calculator allows a rational fraction to be broken down into simple elements.

partial_fraction_decomposition online

A **rational fraction** is a ratio of polynomials.

The calculator allows you to ** break down a rational fraction into simple elements**.

Thus, to **decompose into simple elements the following rational fraction** `(x^2+x+1)/x`, one must enter :
partial_fraction_decomposition(`(x^2+x+1)/x`),
after calculation, the result of the decomposition of the rational fraction is returned.

One of the particularities of the calculator is to **indicate the different calculation steps that allow to decompose a rational fraction**.

Rational fractions are particularly used when searching searching for antiderivatives.

The calculator allows a rational fraction to be broken down into simple elements.

partial_fraction_decomposition(`(x^4)/(-1+x^2)`) = `1+x^2+1/(2*(-1+x))-1/(2*(1+x))` Calculate online with partial_fraction_decomposition (Partial fraction decomposition)

See also :

- Antiderivative calculator : antiderivative_calculator. The antiderivative calculator allows to calculate an antiderivative online with detail and calculation steps.
- Derivative calculator : derivative_calculator. The derivative calculator allows steps by steps calculation of the derivative of a function with respect to a variable.
- Integral calculator : integral_calculator. The integral calculator calculates online the integral of a function between two values, the result is given in exact or approximated form.
- Even or odd function calculator : is_odd_or_even_function. Calculator for determining whether a function is an even function and an odd function.
- Limit of a function : limit_calculator. The limit calculator allows the calculation of the limit of a function with the detail and the calculation steps.
- Partial fraction decomposition : partial_fraction_decomposition. The calculator allows a rational fraction to be broken down into simple elements.
- Calculate the Taylor expansion of a function : taylor_series_expansion. The taylor series calculator allows to calculate the Taylor expansion of a function.