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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Mathematics and Algorithms
>
Formula Manipulation
>
Algebraic Transformations
>
Rational Functions
>
Built-in
Mathematica
Symbol
Structural Operations on Rational Expressions
Tutorials »
|
Numerator
Expand
ExpandDenominator
ExpandAll
See Also »
|
Algebraic Transformations
Rational Functions
More About »
ExpandNumerator
ExpandNumerator
[
expr
]
expands out products and powers that appear in the numerator of
expr
.
MORE INFORMATION
ExpandNumerator
works on terms that have positive integer exponents.
ExpandNumerator
applies only to the top level in
expr
.
ExpandNumerator
automatically threads over lists, as well as equations, inequalities and logic functions.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Expand the numerator of a fraction:
Expand the numerator of a fraction:
In[1]:=
Out[1]=
Scope
(3)
Expand the numerator of a rational function:
ExpandNumerator
threads over sums:
ExpandNumerator
threads over Boolean combinations of equations and inequalities:
Options
(2)
Expand the numerator over the integers modulo 3:
Expand the numerator using expansion formulas for trigonometric functions:
Properties & Relations
(5)
ExpandNumerator
leaves the denominator unexpanded:
ExpandDenominator
expands the denominator, leaving the numerator unexpanded:
Expand
expands the numerator and expands the fraction into a sum of fractions:
ExpandAll
expands the numerator, the denominator, and the fraction:
Use
Factor
,
Numerator
and
Denominator
to factor the numerator back:
SEE ALSO
Numerator
Expand
ExpandDenominator
ExpandAll
TUTORIALS
Structural Operations on Rational Expressions
MORE ABOUT
Algebraic Transformations
Rational Functions
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