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Apart

  • Apart[ expr ] rewrites a rational expression as a sum of terms with minimal denominators.
  • Example: Apart[(x^2 + 1)/(x - 1)] .
  • 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.
  • Examples: Apart[(x + y)/(x - y), x] .
  • Apart[(x + y)/(x - y), y] .
  • See also: Together .
        


    Examples

    Using InstantCalculators

    Here is the InstantCalculator for the Apart function. Enter the parameters for your calculation and click Calculate to see the result.

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    Entering Commands Directly

    You can paste a template for the command via the Text Input button on the Apart Function Controller.

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    Here, neither x nor y are treated as constants.

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    Here, y is treated as a constant.

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    Here, x is treated as a constant.

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