.
factorise x^4 + 4^2023.
~~~~~~~~~~~~~~~~~~~~~
Let' start writing
=
=
=
=
.
It has the form
, where a =
.
Now we will factor the binomial
by some tricky way
=
=
-
=
= factorize as the difference of squares =
=
.
Now substitute a =
into this formula. Notice that
=
=
=
=
.
You will get
=
,
or, which is the same,
=
.
It is the desired factorization.
Solved.
In whole, it looks like a miracle.
I would say more : not only it looks like a miracle, it
a miracle.