Difference between revisions of "Differences of powers"
(New page: If p is a positive integer and x and y are real numbers, Image:Img2.gif For example, Image:Img3.gif Note that the number of terms in the ''long'' factor is equal to the exponen...) |
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Revision as of 09:37, 5 July 2008
If p is a positive integer and x and y are real numbers,
For example,
Note that the number of terms in the long factor is equal to the exponent in the expression being factored.
An amazing thing happens when x and y differ by 1, say, x = y+1. Then x-y = 1 and
For example,
If we also know that 
then
