-7t( -t2 + 4t -8)   =

To simplify the expression -7t(-t^2 + 4t - 8), we can use the distributive property.

First, distribute -7t to each term inside the parentheses:

-7t * -t^2 = 7t^3 -7t * 4t = -28t^2 -7t * -8 = 56t

Now, we can combine the like terms:

7t^3 + (-28t^2) + 56t

So, the simplified expression is 7t^3 - 28t^2 + 56t.