Answer
$-29$
Work Step by Step
The order of operations follow the following hierarchy (PEMDAS rule):
(i) Parentheses/grouping symbols
(ii) Exponents
(iii) Multiplication/Division, whichever comes first from the left
(iv) Addition/Subtraction, whichever comes first from the left
Use the rule above to obtain:
$=[-25+(-2)^3+4]-[2^3+1-9]
\\=[-25+(-8)+4]-[8+1-9]
\\=(-33+4)-(9-9)
\\=(-29)-0
\\=-29$
