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Newton's Binomial Development Formula


As we have seen, the power of form where the , is called Newton's binomial. Besides that:

  • when n = 0 we have
  • when n = 1 we have
  • when n = 2 we have
  • when n = 3 we have
  • when n = 4 we have

Note that the coefficients of the developments were the Pascal triangle. Then we can also write:

In general, when the exponent is no, we can write to Newton's binomial development formula:

Note that the exponents of The decreasing from unit to unit, ranging from no up to 0, and the exponents of B increase from unit to unit, ranging from 0 to no. The development of (a + b)no has n + 1 terms.

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