My sony laptop is 6 years old,if I replace my ac adaptor will my battry last longer?

Laptop runs grate but az soon az i unplug it the battry last 5- 10 mins maxunim before it shuts down , there is a rechargeable battry pack in the back

Laptop runs grate but az soon az i unplug it the battry last 5- 10 mins maxunim before it shuts down , there is a rechargeable battry pack in the back of laptop mayby if i replace that it will give me longer battry life ,im not to sure i just dont wont to go buying the wrong things ,please help

or:Laptop runs grate but az soon az i unplug it the battry last 5- 10 mins maxunim before it shuts down , there is a rechargeable battry pack in the back of laptop mayby if i replace that it will give me longer battry life ,im not to sure i just dont wont to go buying the wrong things ,please help

or:I wish I could report this question on the basis of offensive spelling and grammar but I can't... your answer is yes by the way, the battery needs to be replaced.

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