Chapter 10 Counting Methods and Probability - 10.2 Use Combinations and Binomial Theorem - 10.2 Exercises - Skill Practice - Page 695: 29

$$32s^{20}+400s^{16}+2000s^{12}+5000s^8+6250s^4+3125$$

We know from the Binomial Theorem (page 693) that we can expand the given expression without multiplying it out. Doing this, we obtain: $$32s^{20}+400s^{16}+2000s^{12}+5000s^8+6250s^4+3125$$