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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
Apart
Apart[expr]
rewrites a rational expression as a sum of terms with minimal denominators.
Apart[expr, var]
treats all variables other than var as constants.
Details and OptionsDetails 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.
ExamplesExamplesopen allclose all
Basic Examples (1)Basic Examples (1)
Decompose into partial fractions:
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