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
Introduced in 1988
(1.0)| Updated in 2007