# Chapter 10 Counting Methods and Probability - 10.2 Use Combinations and the Binomial Theorem - Guided Practice for Examples 5 and 6 - Page 693: 7

$$x^5+15x^4+90x^3+270x^2+405x+243$$

#### Work Step by Step

We know from the Binomial Theorem (page 693) that we can expand the given expression using Pascal's Triangle. Doing this, we obtain: $$x^5+15x^4+90x^3+270x^2+405x+243$$

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