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Simplify the Expression, If Possible (32t+1t2t2+5t+2)(t+2)\left( \frac { 3 } { 2 t + 1 } - \frac { t } { 2 t ^ { 2 } + 5 t + 2 } \right) ( t + 2 )

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Simplify the expression, if possible.
- (32t+1t2t2+5t+2) (t+2) \left( \frac { 3 } { 2 t + 1 } - \frac { t } { 2 t ^ { 2 } + 5 t + 2 } \right) ( t + 2 )


Definitions:

Population Mean

The average of all the values in a population.

T-Distribution

A probability distribution that arises when estimating the mean of a normally distributed population in situations where the sample size is small.

Battery Packs

Assemblies of batteries or cells grouped together to provide a desired voltage, capacity, or power density.

Average Functioning Time

The mean time that a system or component operates properly without failure, typically measured over a specified period.

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