Step-by-step explanation:
Plug
[tex] {x}^{2} + 1[/tex]
for x.
[tex]( {x}^{2} + 1) {}^{2} + 1[/tex]
Note that
[tex](a + b) {}^{2} = 2ab[/tex]
So we have
[tex] {x}^{4} + 2 {x}^{2} + 2[/tex]