You are asking for the general chemical formulas for lactic acid fermentation, alcoholic fermentation, and anaerobic respiration.
Lactic acid fermentation is the conversion of sugars to lactic acid. The fermentation of glucose to lactic acid is C6H12O6 --> 2CH3CH(OH)CO2H
Alcoholic fermentation is the oxidation of sugars to produce ethanol and CO2. This is used to produce beer and wine. The fermentation of glucose to ethanol and CO2 is C6H12O6 --> 2CH3CH2OH + 2CO2
Anaerobic respiration is the breakdown of energy rich molecules without sufficient quantities of oxygen present. In human muscles, it is the same equation-wise as lactic acid fermentation, which is C6H12O6 --> 2CH3CH(OH)CO2H. Lactic acid requires oxygen to break it down further.