$$ (2+1)(2^2+1)(2^4+1)\dots(2^{2n}+1)+1 $$

Question

Uniteasy Admin · Accepted Answer

$$ (2+1)(2^2+1)(2^4+1)\dots(2^{2n}+1)+1 $$
$$=\dfrac{2-1}{2-1}\cdotp (2+1)(2^2+1)(2^4+1)\dots(2^{2n}+1)+1 $$
=$$ (2^2-1)(2^2+1)(2^4+1)\dots(2^{2n}+1)+1 $$
$$=(2^{2n})^2-1+1$$
$$=2^{4n}$$

Question

Answer

This answer is set private or in draft.