] collects together terms involving the same powers of objects matching x.
] collects together terms that involve the same powers of objects matching , , ... .
] applies h to the expression that forms the coefficient of each term obtained.
] effectively writes expr as a polynomial in x or a fractional power of x.
Examples: Collect[x + n x + m, x]; Collect[(1+x+y)^3, x].
Simplify] can be used to simplify each coefficient separately.
See the Mathematica book: Section 1.4.5, Section 3.3.1.
See also: Series, CoefficientList, Together, Cases.
These two inputs collect terms first in the variable x and then in the variable y.
This first collects with respect to x, then collects coefficients with respect to y inside of each of the x coefficients.
In this example we use Collect to rewrite an expression by pulling out factors common only to certain parts.
This example has the usual two arguments.
Collect applies an optional third argument to the innermost coefficients of the collected terms.
Suppose you want to collect all the products of powers of x and y in a polynomial that involves other variables. One way is to use patterns.
Another way is to use MonomialList.
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