Mathematica 9 is now available

Documentation / CalculationCenter / Functions / Algebra /

Apart

FilledSmallSquare Apart[expr] rewrites a rational expression as a sum of terms with minimal denominators.

FilledSmallSquare Example: Apart[(x^2 + 1)/(x - 1)] LongRightArrow .

FilledSmallSquare Apart gives the partial fraction decomposition of a rational expression.

FilledSmallSquare 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.

FilledSmallSquare Examples: Apart[(x + y)/(x - y), x] LongRightArrow .

FilledSmallSquare Apart[(x + y)/(x - y), y] LongRightArrow .

FilledSmallSquare 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.

In[1]:=

Out[1]=

Entering Commands Directly

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

In[2]:=

Out[2]=

Here, neither x nor y are treated as constants.

In[3]:=

Out[3]=

Here, y is treated as a constant.

In[4]:=

Out[4]=

Here, x is treated as a constant.

In[5]:=

Out[5]=



Any questions about topics on this page? Click here to get an individual response.Buy NowMore Information
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.