Answer
$2t^{3}(5t^{2}-1-2t)$
Work Step by Step
The greatest common factor of $10t^{5}-2t^{3}-4t^{4}$ is $2t^{3}$.
We can use the distributive property to factor out the greatest common factor.
1. $10t^{5}-2t^{3}-4t^{4}$
2. $2t^{3}\times5t^{2}+2t^{3}\times-1+2t^{3}\times-2t$
3. $2t^{3}(5t^{2}-1-2t)$