Question

Answer the question ​

Answer 1

Answer:

hey mate your answer is

Step-by-step explanation:

I hope it's a helpful for you.

Answer 2

Answer:

66

Step-by-step explanation:

${67}^{67} + 67 \\ since \\x = {67}^{67} = (68 - 1) {}^{67} \\ use \: binomial \\ \\ = \binom{67}{0} (68) {}^{0}( - 1) { }^{67} + \binom{67}{1}(68) {}^{1}( - 1) {}^{66} + .....$

All terms except first has atleast one coefficient of 68 , so

$x = 68k - 1$

For some integer k .

Now you need remainder

$x + 67 = 68k - 1 + 67 = 68k + 66$

So reminder will be 66 .