TITLE: Simplify function in Sage
QUESTION [9 upvotes]: In Sage,
simplify(x/(x^2 + x))

gives
x/(x^2 + x)

I would instead expect to get
1/(x + 1)

Is there a way to achieve that?

REPLY [12 votes]: You could do this:
sage: expr = x/(x^2 + x)
sage: expr.simplify_full()
1/(x + 1)