Answer
$x^8 -2x^5 +x^2$
Work Step by Step
We multiply each term of the first polynomial by each term of the second polynomial. Then we add the products, as follows
$$
(x^5- x^2)(x^3 -1)= x^5(x^3 -1)- x^2(x^3 -1)\\
= x^8 -x^5- x^5 +x^2\\
=x^8 -2x^5 +x^2
.$$
