**Interactive parallelogram. Click and drag points to see properties, formula adjust


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Pascal's Triangle for expanding Binomails

How to use Pascal's Triangle to perform Binomial Expansions

Pascal's Triangle is probably the easiest wa 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)
  • 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.
    (Image above taken from wikepedia. Thank you wikepedia.org!)

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