If you want to save more battery life and make the battery life last longer, there are two aspects which you should notice, one aspect is related to the battery itself, another aspect is related to how to use your laptop.

How to charge your new replacement laptop battery?
Your new laptop battery comes in a discharged condition and must be charged before use (refer to your computer manual for charging instructions). Upon initial use (or after a prolonged storage period) the battery may require two to three charge/discharge cycles before achieving maximum [...]

Lithium-ion (Li-ion) Batteries
Lithium-ion batteries are the newest technology batteries and offer several advantages over NiMH and NiCd batteries. Lithium-ion batteries are preferred for their lighter weight and higher performance. Lithium-ion batteries are typically 20-35% lighter and will provide 10-20% better performance than a NiMH battery of equivalent mAh rating.