Answer :

Let's evaluate the given expression step by step:

[tex]\[ 2\left[32 - (4 - 1)^3\right] \][/tex]

1. Evaluate the expression inside the parentheses:
[tex]\[ 4 - 1 = 3 \][/tex]

2. Raise the result to the power of 3:
[tex]\[ 3^3 = 27 \][/tex]

3. Subtract this result from 32:
[tex]\[ 32 - 27 = 5 \][/tex]

4. Multiply the result by 2:
[tex]\[ 2 \times 5 = 10 \][/tex]

So, the value of the expression [tex]\( 2\left[32 - (4 - 1)^3\right] \)[/tex] is [tex]\(\boxed{10}\)[/tex].