Cancel

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

Cancel cancels out the greatest common divisor of the numerator and denominator.

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.

Cancel common factors:

Out[1]=

Out[2]=

Cancel threads over sums:

Cancel threads over Boolean combinations of equations and inequalities:

By default, Cancel treats algebraic numbers as independent variables:

With Extension->Automatic, Cancel recognizes algebraically dependent coefficients:

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

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

By default, Cancel treats trigonometric functions as independent variables:

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

Cancel cancels common factors between numerators and denominators:

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