If you want to know if you can use bleach to kill algae, then, yes. Some of the more delicately leaved plants may not live, but anubias and other thicher leaved plants do fine in a bath of 19:1 water:bleach mix for about 3-4 minutes. There is a thread on this in the algae forum area.
http://www.aquaticplantcentral.com/f...ch-method.html
Just don't get the bleach into your tank with your fish. They will die.
-Dave
And as kucera mentioned, you should look at the possibility of nutrient deficiency. Are you dosing all the ferts (N,P,K, and micros)?