Help Reducing simple fraction

Question

This has got to be easy, but for some reason I just don't see it, probably because it's late.

Solution key to a quiz we took online says that:

$\frac{A^2 + A + AB}{(A + B)(A + B + 1)}$

can get reduced down to

$\frac{A}{A+B}$

but I can't seem to get it there. Any help?

Oh my god, I knew it was late. Disregard – late Dec 21 '13 at 06:14 — late, Dec 21 '13 at 06:14
$$A^2+A+AB=A(A+1+B)$$ – lab bhattacharjee Dec 21 '13 at 06:17 — lab bhattacharjee, Dec 21 '13 at 06:17

score 1 · Answer 1 · answered Dec 21 '13 at 06:17

1

Hint: Use $A^2+A+AB=A(A+1+B)$.

answered Dec 21 '13 at 06:17

Alraxite

score 0 · Answer 2 · answered Dec 21 '13 at 06:17

0

This is because $A^2+A+AB=A(A+B+1)$.

answered Dec 21 '13 at 06:17

mathlove

2 Answers2