ExpandDenominator

ExpandDenominator[expr]

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

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:

Wolfram Research (1988), ExpandDenominator, Wolfram Language function, https://reference.wolfram.com/language/ref/ExpandDenominator.html (updated 2007).

Text

Wolfram Research (1988), ExpandDenominator, Wolfram Language function, https://reference.wolfram.com/language/ref/ExpandDenominator.html (updated 2007).

CMS

Wolfram Language. 1988. "ExpandDenominator." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2007. https://reference.wolfram.com/language/ref/ExpandDenominator.html.

APA

Wolfram Language. (1988). ExpandDenominator. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ExpandDenominator.html

BibTeX

@misc{reference.wolfram_2021_expanddenominator, author="Wolfram Research", title="{ExpandDenominator}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ExpandDenominator.html}", note=[Accessed: 16-May-2022 ]}

BibLaTeX

@online{reference.wolfram_2021_expanddenominator, organization={Wolfram Research}, title={ExpandDenominator}, year={2007}, url={https://reference.wolfram.com/language/ref/ExpandDenominator.html}, note=[Accessed: 16-May-2022 ]}