THE BINOMIAL THEOREM

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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.


                                                                                                                                                                                                                                                                                                           

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