Difference between revisions of "Sum and difference of powers"
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| − | The '''sum and difference of | + | The '''sum and difference of powers''' identities refer to powerful factoring techniques that, respectively, factor a sum of cubes and a difference of certain powers. |
| − | ==Factored Forms of Sums and Differences of | + | ==Factored Forms of Sums and Differences of Powers== |
| − | * <math> a^ | + | *<math>a^n-b^n=(a-b)(a^{n-1}+a^{n-2}b+a^{n-3}b^2+\ldots+ab^{n-2}+b^{n-1}</math> |
| − | * <math>a^ | + | *<math>a^{2n+1}+b^{2n+1}=(a+b)(a^{2n}-a^{2n-1}b+a^{2n-2}b^2-\ldots-ab^{2n-1}+b^{2n})</math> |
| − | + | ==See Also== | |
| − | ==See | ||
* [[Factoring]] | * [[Factoring]] | ||
| − | * [[Difference of | + | * [[Difference of squares]], an extremely common specific case of this. |
{{stub}} | {{stub}} | ||
[[Category:Elementary algebra]] | [[Category:Elementary algebra]] | ||
Revision as of 20:32, 10 March 2008
The sum and difference of powers identities refer to powerful factoring techniques that, respectively, factor a sum of cubes and a difference of certain powers.
Factored Forms of Sums and Differences of Powers
See Also
- Factoring
- Difference of squares, an extremely common specific case of this.
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