Answer :

Exvited
[tex]200t + 8t^3 - 80t^2 \\ \\ GCF = 8t \\ \\ 8t ( \frac{200t}{8t} + \frac{8t^3}{8t} + \frac{-80t^2}{8t} ) \\ \\ 8t (25 + t^2 - 10t) \\ \\ 8t (5^2 - 2(5)(t) + t^2) \\ \\ 8t ( 5 - t)^2 \\ \\ [/tex]

The final result is: 8t(5 - t)²