THE BINOMIAL THEOREM
Reading edition
1. Review the Binomial Theorem laws. (See Involution.)
Expand:
2.

3.

4.

5.

6.

7.

8. Show by observation that the formula for the


9. Indicate what the 97th term of would be.

10. Using the expansion of in (8), derive a formula for the rth term by observing how each term is made up, then generalizing.

Using either the formula in (8) or (10), whichever you are familiar with, find:
11. The 4th term of

12. The 8th term of

13. The middle term of

14. The term not containing x in

15. The term containing in


Reference: The chapter on The Binomial Theorem in any algebra.