Algebraic DivisibilitY
- The equation $$a^n-b^n$$ is always divisible by a-b. If n is even it is divisible by a+b. If n is odd it is not divisible by a+b.
- The equation $$a^n+b^n$$ is never divisible by a-b. If n is odd it is divisible by a+b. If n is even it is not divisible by a+b.
- $$(a^n - b^n)$$ is always divisible by $$(a - b)$$
- $$(a^n - b^n)$$ is divisible by $$(a + b)$$ if $$n$$ even
- $$(a^n + b^n)$$ is divisible by $$(a + b)$$ if $$n$$ is odd
