Is the polynomial \(x^4 - 2x^2 + 1\) a perfect square? If yes, factorize it.

Step 1 ：First, we rewrite the polynomial as \((x^2)^2 - 2(x^2) + 1\)

Step 2 ：We notice this is a perfect square trinomial of the form \(a^2 - 2ab + b^2\), where \(a=x^2\) and \(b=1\).

Step 3 ：This trinomial can be factored as \((a - b)^2\), which in this case gives \((x^2 - 1)^2\)