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Mathematica > Mathematics and Algorithms > Formula Manipulation > Algebraic Transformations >

Built-in Mathematica Symbol

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.

Collect[expr, x] effectively writes expr as a polynomial in x or a fractional power of x.

Collect automatically threads over lists in expr, as well as equations, inequalities and logic functions.

Collect terms involving x:

Collect each power of x:

Simplify each coefficient:

Collect terms involving x:

Collect each power of x:

Simplify each coefficient:

A polynomial:

A Puiseux polynomial:

Collect with respect to two variables:

Collect with respect to a pattern:

Collect derivative terms:

Collect over the integers modulo 2:

Expand is effectively the inverse of Collect:

The order of variables matters: