Collect

Collect[expr,x]

collects together terms involving the same powers of objects matching x.

Collect[expr,{x1,x2,}]

collects together terms that involve the same powers of objects matching x1, x2, .

Collect[expr,var,h]

applies h to the expression that forms the coefficient of each term obtained.

Details and Options

  • Collect[expr,x] 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

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Basic Examples  (2)

Collect terms involving x:

Collect each power of x:

Simplify each coefficient:

Scope  (4)

A polynomial:

A Puiseux polynomial:

Collect with respect to two variables:

Collect with respect to a pattern:

Collect derivative terms:

Options  (1)

Modulus  (1)

Collect over the integers modulo 2:

Properties & Relations  (2)

Expand is effectively the inverse of Collect:

The order of variables matters:

Introduced in 1988
 (1.0)
 |
Updated in 1996
 (3.0)
2007
 (6.0)