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Factor 200t + 8t 3 - 80t 2.

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200t + 8t^3 - 80t^2 \\ \\ GCF = 8t \\ \\ 8t ( (200t)/(8t) + (8t^3)/(8t) + (-80t^2)/(8t) ) \\ \\ 8t (25 + t^2 - 10t) \\ \\ 8t (5^2 - 2(5)(t) + t^2) \\ \\ 8t ( 5 - t)^2 \\ \\

The final result is: 8t(5 - t)²
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