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### Binomial Theorem

The expansion of (a + b)

^{n}has n + 1 terms.In the kth term of (a + b)

^{n}, the exponent of b is k – 1 and the exponent of is n – (k – 1).In the kth term, the coefficient has k – 1 factors in the numerator and the denominator.

You can always find the coefficients of the expansion or of a particular term by writing out Pascal’s triangle and using row n.

The coefficients of the expansion are symmetrical around the middle term. So once you have found the first half of the coefficients, you already have the coefficients for the rest of the terms. They are the same ones you have found but listed in reverse order.

### Binomial Theorem

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Pascal's Triangle 0:11
- General Form
- Properties 7:01
- Binomial Theorem 9:20
- Example
- Finding a Specific Term 16:24
- Example
- Lecture Example 1 20:35
- Lecture Example 2 23:30
- Additional Example 3
- Additional Example 4

0 answers

Post by Bilqees Fatima on December 7, 2011

Last two terms are wrong. they should be 810xy^4+ 243y^5