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Mathematics and Algorithms
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Formula Manipulation
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Algebraic Transformations
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Collect
>
BUILT-IN MATHEMATICA SYMBOL
Putting Expressions into Different Forms
Structural Operations on Polynomials
Tutorials »
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Algebraic Transformations
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More About »
Collect
Collect
collects together terms involving the same powers of objects matching
x
.
Collect
collects together terms that involve the same powers of objects matching
,
, ....
Collect
applies
h
to the expression that forms the coefficient of each term obtained.
MORE INFORMATION
Collect
effectively writes
expr
as a polynomial in
x
or a fractional power of
x
.
Collect
[
expr
,
x
,
Simplify
]
can be used to simplify each coefficient separately.
Collect
automatically threads over lists in
expr
, as well as equations, inequalities and logic functions.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Collect terms involving
:
Collect each power of
:
Simplify each coefficient:
Collect terms involving
:
In[1]:=
Out[1]=
Collect each power of
:
In[1]:=
Out[1]=
Simplify each coefficient:
In[2]:=
Out[2]=
Scope
(4)
A polynomial:
A Puiseux polynomial:
Collect with respect to two variables:
Collect with respect to a pattern:
Collect derivative terms:
Options
(1)
Collect over the integers modulo 2:
Properties & Relations
(2)
Expand
is effectively the inverse of
Collect
:
The order of variables matters:
SEE ALSO
Series
CoefficientList
HornerForm
Together
Cases
TUTORIALS
Putting Expressions into Different Forms
Structural Operations on Polynomials
MORE ABOUT
Algebraic Transformations
Formula Manipulation
Polynomial Algebra
RELATED LINKS
NKS|Online
(
A New Kind of Science
)
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