Binomial (polynomial): Difference between revisions

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==Operations on simple binomials==
*The binomial {{math|''x''<sup>2</sup> − ''y''<sup>2</sup>}} can be [[factored]] as the product of two other binomials:
::<math> x^2 - y^2 = (x + y)(x - y). </math>
:This is a [[special case]] of the more general formula:
::<math> x^{n+1} - y^{n+1} = (x - y)\sum_{k=0}^{n} x^{k}\,y^{n-k}.</math>
:When working over the complex numbers, this can also be extended to:
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