rewrites a rational expression as a sum of terms with minimal denominators.
treats all variables other than var as constants.
Details and Options
- Apart gives the partial fraction decomposition of a rational expression.
- Apart[expr,var] writes expr as a polynomial in var together with a sum of ratios of polynomials, where the degree in var of each numerator polynomial is less than that of the corresponding denominator polynomial.
- Apart[expr,Trig->True] treats trigonometric functions as rational functions of exponentials, and manipulates them accordingly.
- Apart automatically threads over lists in expr, as well as equations, inequalities, and logic functions.
Examplesopen allclose all
Basic Examples (2)
Basic Uses (6)
Apart can handle symbolic parameters:
Here Apart picks as the main variable and treats as a constant:
Apart can handle non-polynomial expressions:
Apart threads over equations and inequalities:
Wolfram Research (1988), Apart, Wolfram Language function, https://reference.wolfram.com/language/ref/Apart.html (updated 2007).
Wolfram Language. 1988. "Apart." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2007. https://reference.wolfram.com/language/ref/Apart.html.
Wolfram Language. (1988). Apart. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Apart.html