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Pascal's triangle (view source)
Revision as of 14:07, September 12, 2017
, 14:07, September 12, 2017→Binomial Expansion: Wikify
===Binomial Expansion===
===Binomial Expansion===
For the binomial <math>(a+b)^n</math>, the coefficients of the expansion are found in the n<sup>th</sup> row of Pascal's triangle. (Remember the top row is row 0.) For example, the binomial coefficients for <math>(a+b)^4</math> are the numbers in row 4 of the triangle.
For the [[binomial expansion]] of <math>(a+b)^n</math>, the coefficients of the expansion are found in the n<sup>th</sup> row of Pascal's triangle. (Remember the top row is row 0.) For example, the binomial coefficients for <math>(a+b)^4</math> are the numbers in row 4 of the triangle.
<math>(a+b)^4=1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4</math>
<math>(a+b)^4=1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4</math>