Binomial expansion

Identities and Pascals's triangle.

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Study Binomial expansion

The following identities hold:

  1. \(\displaystyle{(a+b)^2 = a^2 + 2ab + b^2}\)

  2. \(\displaystyle{(a-b)^2 = a^{2} - 2ab + b^2}\)

  3. \(\displaystyle{(a+b)(a-b) = a^2 - b^2}\)

Pascals’s Triangle

\(n=0\): \(1\)
\(n=1\): \(1\) \(1\)
\(n=2\): \(1\) \(2\) \(1\)
\(n=3\): \(1\) \(3\) \(3\) \(1\)
\(n=4\): \(1\) \(4\) \(6\) \(4\) \(1\)

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