Timeline for Prove by induction that $x^n-y^n$ is divisble by $x-y$ for $ n \ge 1 $
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 19, 2018 at 22:29 | vote | accept | PossiblyDakota | ||
| May 19, 2018 at 7:17 | comment | added | J.G. | You do indeed use the inductive step to verify $x-y|x^n-y^n$, although the expression you wrote after that isn't right. | |
| May 19, 2018 at 6:26 | comment | added | PossiblyDakota | So if I'm understanding you correctly the substitution happens inside the term $ x(x^n - y^n) $ which would be $x(x-y) + y^n(x-y)$ ? Then I could proceed to factor or am I missing a factoring technique in my tool belt? | |
| May 19, 2018 at 6:14 | history | answered | J.G. | CC BY-SA 4.0 |