Chapter 10 Counting Methods and Probability - 10.2 Use Combinations and the Binomial Theorem - 10.2 Exercises - Quiz for Lessons 10.1-10.2 - Page 697: 12

$$64s^6-576s^5+2160s^4-4320s^3+4860s^2-2916s+729$$

We know from the Binomial Theorem (page 693) that we can expand the given expression without multiplying it out. Doing this, we obtain: $$64s^6-576s^5+2160s^4-4320s^3+4860s^2-2916s+729$$