Math teacher posed the class this question to see who could work it out the fastest because we had nothing better to do, thought I'd repost here and see if anyone could work it out. (It only looks hard, it's not hard if you think about it logically)
" Simplify and factorise:
conjugate( ( (lim(n ->inf) sum(k=1)^inf 9/(10^k)) + (sum(m=1)^inf 1/(2^m)))^2 - x^2) / ( lim(p -> inf) 1 - 1/(10^p))! "
(Syntax of the question has been changed slightly so you can't just dump it into maple.)
/me is very bored
First one with the correct answer wins.