Question

Which one of the following is the common factor of $({47}^{43}+{43}^{43})$ and $({47}^{47}+{43}^{47})$?

• A. $(47-43)$
• B. $(47+43)$
• C. $({47}^{43}+{43}^{43})$
• D. None of these

Answer 1

The correct option is B $(47+43)$

When $n$ is odd, $(x^n+a^n)$ is always divisible by $(x+a)$
$\therefore$ Each one of $({47}^{43}+{43}^{43})$ and $({47}^{47}+{43}^{47})$ is divisible y $(47+43)$.