Combine[expr]
puts terms in a sum over a common
denominator and cancels factors in the result. Combine
is
similar to Together
, but accepts the option
Expanding
and works usually better than
Together
for polynomials involving rationals with sums in
the denominator.
[((a - b) (c - d))/e + g] Combine
\frac{(a-b) (c-d)+e g}{e}
Here the result from Together
where the numerator is
automatically expanded.
Together[((a - b) (c - d))/e + g]
\frac{a c-a d-b c+b d+e g}{e}
If the option Expanding
is set to True
, the
result of Combine
is the same as Together
, but
uses a slightly different algorithm.
[((a - b) (c - d))/e + g, Expanding -> True] Combine
\frac{a c-a d-b c+b d+e g}{e}