# ExpandDenominator

ExpandDenominator[expr]

expands out products and powers that appear as denominators in expr.

# Details and Options # Examples

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## Basic Examples(2)

Expand the denominator of a fraction:

Expand the denominator in each term:

## Scope(6)

Expand the denominator of a rational function:

ExpandDenominator threads over Boolean combinations of equations and inequalities:

Expand a denominator involving complex coefficients:

Expand the denominator over the integers modulo :

Expand the denominator using expansion formulas for trigonometric functions:

## Options(2)

### Modulus(1)

Expand the denominator over the integers modulo 3:

### Trig(1)

Expand the denominator using expansion formulas for trigonometric functions:

## Applications(2)

Verify that two expressions are equal:

Use ExpandDenominator to show that the equality is true:

## Properties & Relations(5)

ExpandDenominator leaves the numerator unexpanded:

ExpandNumerator expands the numerator, leaving the denominator 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 denominator back: