### Instruction: Factor the following expression: $28z^{97}+7z^{96}$.### Response: I notice that both terms in the expression have a common factor of $7z^{96}$, so I can factor that out.
Using the distributive property, I can write the expression as $7z^{96}(4z+1)$.
I don't see any further ways to factor the expression, so I think this is the final answer.