Together
Together[
expr
]
puts terms in a sum over a common denominator and cancels factors in the result.
Example:
Together[1/x
+
1/(1
-
x)]
.
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
.
See also:
Apart
,
Factor
.
Examples
Using InstantCalculators
Here is the InstantCalculator for the
Together
function. Enter the parameters for your calculation and click
Calculate
to see the result.
In[1]:=
Out[1]=
Entering Commands Directly
You can paste a template for this command via the Text Input button on the
Together
Function Controller.
Here is a simple example.
In[2]:=
Out[2]=
Here is another example.
In[3]:=
Out[3]=
Together
explicitly makes it clear that this expression is indeterminate.
In[4]:=
Out[4]=
Together
simplifies this complicated expression.
In[5]:=
Out[5]=
No cancellation is done here.
In[6]:=
Out[6]=