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ExpandAll[expr]

expands out all products and integer powers in any part of expr.

ExpandAll[expr,patt]

avoids expanding parts of expr that do not contain terms matching the pattern patt.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Applications  
See Also
Tech Notes
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ExpandAll

ExpandAll[expr]

expands out all products and integer powers in any part of expr.

ExpandAll[expr,patt]

avoids expanding parts of expr that do not contain terms matching the pattern patt.

Details and Options

Examples

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Basic Examples  (1)

Expand polynomials anywhere inside an expression:

Scope  (6)

Expand the numerator and the denominator of a rational expression:

Expand the exponent:

ExpandAll goes into heads:

Expand only subexpressions involving :

Expand the expression over the integers modulo :

Expand the expression using expansion formulas for trigonometric functions:

Applications  (1)

Verify that two expressions are equal:

Use ExpandAll to show that the expressions are equal:

Expand is not sufficient to verify the equality:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2025_expandall, author="Wolfram Research", title="{ExpandAll}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ExpandAll.html}", note=[Accessed: 13-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_expandall, organization={Wolfram Research}, title={ExpandAll}, year={2007}, url={https://reference.wolfram.com/language/ref/ExpandAll.html}, note=[Accessed: 13-August-2025]}