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The Binomial Theorem can be used to expand powers of binomials (hence the name) without recourse to polynomial multiplication or Pascal's triangle.
The rth entry in the nth row of Pascal's triangle is given by the formula
The number nCr is called a Binomial Coefficient. We looked a second time at several binomial expansions: (x+1)^5, (x+y)^5, (2x+1)^4, and (2-3)^4. We also looked at one more, which comes up in probability (1/3 + 2/3)^5. If you read this web page before class, you would profit from practicing these problems before the lecture.
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