# Cancel

Cancel[expr]

cancels out common factors in the numerator and denominator of expr.

# Details and Options

• Cancel cancels out the greatest common divisor of the numerator and denominator.
• Cancel[expr,Modulus->p] generates a result modulo p.
• Cancel[expr,Extension->Automatic] allows operations to be performed on algebraic numbers in expr.
• Cancel[expr,Trig->True] treats trigonometric functions as rational functions of exponentials and manipulates them accordingly.
• Cancel automatically threads over lists, as well as equations, inequalities and logic functions.

# Examples

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## Basic Examples(1)

Cancel common factors:

## Scope(3)

Cancel threads over Boolean combinations of equations and inequalities:

Compute over a finite field:

## Options(3)

### Extension(1)

By default, Cancel treats algebraic numbers as independent variables:

With , Cancel recognizes algebraically dependent coefficients:

### Modulus(1)

Over the rational numbers the numerator and the denominator have no common factors:

Over the integers modulo 2, the denominator divides the numerator:

### Trig(1)

By default, Cancel treats trigonometric functions as independent variables:

With Trig->True, Cancel recognizes dependencies between trigonometric functions:

## Properties & Relations(1)

Cancel cancels common factors between numerators and denominators:

Together combines terms over a common denominator and cancels common factors:

Wolfram Research (1988), Cancel, Wolfram Language function, https://reference.wolfram.com/language/ref/Cancel.html (updated 2023).

#### Text

Wolfram Research (1988), Cancel, Wolfram Language function, https://reference.wolfram.com/language/ref/Cancel.html (updated 2023).

#### CMS

Wolfram Language. 1988. "Cancel." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2023. https://reference.wolfram.com/language/ref/Cancel.html.

#### APA

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

#### BibTeX

@misc{reference.wolfram_2024_cancel, author="Wolfram Research", title="{Cancel}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/Cancel.html}", note=[Accessed: 15-August-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_cancel, organization={Wolfram Research}, title={Cancel}, year={2023}, url={https://reference.wolfram.com/language/ref/Cancel.html}, note=[Accessed: 15-August-2024 ]}