Answer:
2n^2(3n +4)^2
Explanation:
Unless you're required to match some particular factored form, you can first factor out any common factors. Here, 2n^2 is a common factor, so you have ...
= 2n^2·(9n^2 +24n +16)
The first and last terms of the trinomial are perfect squares, suggesting that the trinomial itself is a square. If so, the expression becomes ...
= 2n^2·(3n +4)^2
We see that the expansion of this form gives exactly the trinomial you started with.