The problem asks to evaluate the expression $(-5+8)^3 + 12$.

1. Problem Description

The problem asks to evaluate the expression $(-5+8)^3 + 12$.

2. Solution Steps

We need to follow the order of operations (PEMDAS/BODMAS).

First, evaluate the expression inside the parentheses:

$-5 + 8 = 3$

Next, evaluate the exponent:

$3^3 = 3 \times 3 \times 3 = 27$

Finally, add 12:

$27 + 12 = 39$

3. Final Answer

The final answer is 39.