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: 15

5376

We know from the Binomial Theorem (page 693) that we can expand the given expression without multiplying it out. Doing this, we obtain: $$x^9+18x^8+144x^7+672x^6+2016x^5+4032x^4+5376x^3+4608x^2+2304x+512$$ Thus, the coefficient is 5376.