How can I show it?

[violet dust]

induction feels like the move

[terse haven]

Can u do it using div?

the question set is about div

And i suck at div

Divisibility i mean

[violet dust]

no clue

I'd use induction, and div from there. But that's me

[terse haven]

Can u factor it?

[violet dust]

With induction. That's my guess

[terse haven]

Like anyway add or subtrat stuff and then it becomes product of two numbers?

Ok then

[violet dust]

doubt, but I could be wrong

But I highly doubt you can do it so easily

[visual lava]

all composite numbers can be rewritten as a sum of squares

n^4 is always a square as its (n^2)^2

and for 4^n

we can rewrite as 2^(2n)
and again rewrite as (2^n)^2

so we have a sum of squares

n^4 + 4^n = (n^2)^2 + (2^n)^2

[visual lava]

Actually no this is wrong