2020 · Q10
(xⁿ − aⁿ) is divisible by (x − a), where x ≠ a for every
Elementary MathematicsAlgebra
- Anatural number n
- Beven natural number n only
- Codd natural number n only
- Dprime number n only
Explanation
x^n-a^n = (x-a)(x^(n-1)+x^(n-2)a+...+a^(n-1)) factors for every natural number n, so it is always divisible by (x-a). Hence option (A).