(a + b)2 = 1a^2 + 2ab + 1b^2 (a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3 how are binomial expansions related to pascal’s triangle?

Consider the binomial ,

where n=0, 1, 2, 3, ...

For example 








...
...

Consider the Pascal's triangle, as shown in the picture, where the very first row is denoted by row 0, the second by row 1, the third by row 2 and so on...

We notice that the coefficients of the expansion of , are the entries in the  row of Pascal's triangle.

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