Factorise : `(a) x^(4)+4x^(2)+16 " " (ii) x^(4)+4`

Explanation

Let's factorize the given expressions step by step.

### Part (i): Factorize \( x^4 + 4x^2 + 16 \)

1. **Identify the structure**: Notice that the expression \( x^4 + 4x^2 + 16 \) can be rearranged to fit the form of a perfect square trinomial. We can express \( x^4 \) as \( (x^2)^2 \) and \( 16 \) as \( 4^2 \).

\[
x^4 + 4x^2 + 16 = (x^2)^2 + 4x^2 + 4^2
...