puts terms in a sum over a common denominator, and cancels factors in the result.
Details and Options
- Together makes a sum of terms into a single rational function.
- 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 avoids expanding out denominators unless it is necessary.
- Together is effectively the inverse of Apart.
- Together[expr,Modulus->p] generates a result modulo p.
- 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.
Examplesopen allclose all
Basic Examples (2)
Combine a sum of any number of terms:
Here all factors of the denominator divide the numerator:
Together threads over lists:
Together threads over equations and inequalities:
Compute over the algebraic extension generated by the coefficients:
Compute over the integers modulo :
Wolfram Research (1988), Together, Wolfram Language function, https://reference.wolfram.com/language/ref/Together.html (updated 2007).
Wolfram Language. 1988. "Together." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2007. https://reference.wolfram.com/language/ref/Together.html.
Wolfram Language. (1988). Together. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Together.html