BUILT-IN MATHEMATICA SYMBOL

Together

Together[expr]
puts terms in a sum over a common denominator, and cancels factors in the result.

The denominator of the result of Together is typically the lowest common multiple of the denominators of each of the terms in the sum.

Together[expr, Extension->Automatic] allows operations to be performed on algebraic numbers in expr.

Together[expr, Trig->True] treats trigonometric functions as rational functions of exponentials, and manipulates them accordingly.

Together automatically threads over lists, as well as equations, inequalities and logic functions.

Combine terms over a common denominator:

Cancel common factors between the numerator and the denominator:

Combine terms over a common denominator:

Out[1]=

Cancel common factors between the numerator and the denominator:

Out[1]=

Combine a sum of any number of terms:

Here all factors of the denominator divide the numerator:

Together threads over equations and inequalities:

By default, Together treats algebraic numbers as independent variables:

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

Computations over rational numbers:

The same computations over integers modulo 2:

By default, Together treats trigonometric functions as independent variables:

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

Test whether a function is a rational function:

Apart acts as a partial inverse of Together:

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

Cancel only cancels common factors between numerators and denominators:

Use Numerator and Denominator to extract numerators and denominators: