STANDARD 20: BINOMIAL EXPANSION
Pascal's Triangle
One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).
To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.
Each number is just the two numbers above it added together (except for the edges, which are all "1").
(Here I have highlighted that 1+3 = 4)
To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.
Each number is just the two numbers above it added together (except for the edges, which are all "1").
(Here I have highlighted that 1+3 = 4)
We will use the simple binomial a+b, but it could be any binomial.
The coefficients actually make Pascal's Triangle!
Each number is just the two numbers above it added together (except for the edges, which are all "1") (Here I have highlighted that 1+3 = 4)
Each number is just the two numbers above it added together (except for the edges, which are all "1") (Here I have highlighted that 1+3 = 4)
Standard 20 Practice | |
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