Final answer:
The factored form of the expression t^6-tp^3 is t(t^5 - p^3), by factoring out the common factor of t.
Step-by-step explanation:
The factored form of t^6-tp^3 can be found by looking for common factors in both terms. Here, the common factor is t, so we factor it out:
t(t^5 - p^3)
Therefore, the factored form of the given expression is t(t^5 - p^3).