# ExpandNumerator

ExpandNumerator[expr]

expands out products and powers that appear in the numerator of expr.

# Details and Options • ExpandNumerator works on terms that have positive integer exponents.
• ExpandNumerator applies only to the top level in expr.
• ExpandNumerator automatically threads over lists, as well as equations, inequalities, and logic functions.

# Examples

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## Basic Examples(2)

Expand the numerator of a fraction:

Expand a numerator involving multiple variables:

## Scope(7)

Expand the numerator of a rational function:

ExpandNumerator threads over Boolean combinations of equations and inequalities:

ExpandNumerator does not separate the fraction; Expand does:

Expand numerator of a fraction involving arbitrary functions:

Expand the numerator using expansion formulas for trigonometric functions:

Expand the numerator over the integers modulo :

## Options(2)

### Modulus(1)

Expand the numerator over the integers modulo 3:

### Trig(1)

Expand the numerator using expansion formulas for trigonometric functions:

## Applications(1)

ExpandNumerator can be used to verify that two expressions are equal:

## Properties & Relations(5)

ExpandNumerator leaves the denominator unexpanded:

ExpandDenominator expands the denominator, leaving the numerator unexpanded:

Expand expands the numerator and expands the fraction into a sum of fractions:

ExpandAll expands the numerator, the denominator, and the fraction:

Use Factor, Numerator, and Denominator to factor the numerator back: