(xⁿ-aⁿ) is divisible by (x-a) · ABC26GN0307

Subject: General Aptitude · Chapter: Number System

$\left(x^{n}-a^{n}\right)$ is divisible by $(x-a)$

(a)for all values of $n$

(b)only for even values of $n$

(c)only for odd values of $n$

(d)only for prime values of $n$

Answer

Answer (as printed): A

Explanation

We know that $\left(x^{n}-a^{n}\right)$ is always divisible by $(x-a)$ for all values of $n$.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Number System