9.5 The Binomial Theorem
The Binomial Theorem is a quick way of expanding a binomial expression that has been reised to some power. In order to solve that problem, we need to use Pascal's Triangle. It is a convenient way to remember a pattern for binomial coefficients.
Example: What is (x+5)4
| Start with exponents: | x450 | x351 | x252 | x153 | x054 |
| Include Coefficients: | 1x450 | 4x351 | 6x252 | 4x153 | 1x054 |
(x+5)4 = x4 + 20x3 + 150x2 + 500x + 625
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