Apart

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Partial-fraction decomposition.

Independently checkable: an answer for this function is re-derived by a different route and compared - the workbench and the verify tool do this automatically, so a wrong answer is caught rather than trusted. History →

Forms

Apart[expr]

Apart[expr, var]

Verified examplesApart[1/((x - 1) (x + 1)), x] → 1/(2*(-1 + x)) - 1/(2*(1 + x))Apart[1/((x^2 + 1) (x^2 + 4))] → 1/(3*(1 + x^2)) - 1/(3*(4 + x^2))Options

Modulus — default 0
Trig — default False

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Topics

Algebraic Transformations - Rational Functions »
Formula Manipulation - Formula Rearrangement
New In60 Algebraic Computing - New in Polynomial Manipulation
New In60 Mathematics And Algorithms - New Symbolic & Algebraic Computing Functions »
Polynomial Factoring - Rational Functions
Rational Functions - Operations on Rational Functions

PartialFractions Together ApartSquareFree PartialFractionElements Cancel PolynomialQuotient Expand Factor HornerForm ExpandAll ExpandNumerator PadeApproximant

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Apart

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