Pascal's Triangle for expanding Binomials

Pascal's Triangle is probably the easiest way to expand binomials. It's much simpler to use than the Binomial Theorem, which provides a formula for expanding binomials. Pascal noticed

The formula for Pascal's Triangle comes from a relationship that you yourself might be able to see in the coefficients below.

(x+ y)0 (x + y)1 (x+y)² (x+y)3 (x+y)4

1 x + y x²+2xy + y² x3 + 3x2Y+ 3xY2 + y3 x4+ 4x3Y +6x2Y2 + 4XY3 + Y4

The demonstration below illustrates the pattern. Pascal's Triangle presents a formula that allows you to create the coefficients of the terms in a binomial expansion.

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