Question

Just double checking

7t/t^2-64 + t/t-8

I got t^2+15t/t^2-64

Answer 1

7t/(t-8)(t+8) +t(t+8)/(t-8)(t+8)
t^2+7t+8t/t-8)(t+8)

Answer 2

I would reduce it a bit more, but you are on the right path.

\[(t ^{2}+15t)/t ^{2}-64\]