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Mathematica® Teacher's Edition (2002)

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Collect

FilledSmallSquare Collect[expr, x] collects together terms involving the same powers of objects matching x.
FilledSmallSquare Collect[expr, , , ... ] collects together terms that involve the same powers of objects matching , , ... .
FilledSmallSquare Collect[expr, var, h] applies h to the expression that forms the coefficient of each term obtained.

FilledSmallSquare Collect[expr, x] effectively writes expr as a polynomial in x or a fractional power of x.
FilledSmallSquare Examples: Collect[x + n x + m, x]LongRightArrow; Collect[(1+x+y)^3, x]LongRightArrow.
FilledSmallSquare Collect[expr, x, Simplify] can be used to simplify each coefficient separately.
FilledSmallSquare See The Mathematica Book on the web: Section 1.4.5 and Section 3.3.1.
FilledSmallSquare See also: Series, CoefficientList, Together, Cases.