Answer
$12x^{2}+11$
Work Step by Step
Start with given expression: $18x^{2}+4-[6(x^{2}-2)+5]$.
Distribute $6$ through terms in inner parentheses: $18x^{2}+4-[6x^{2}-12+5]$.
Distribute $-1$ through brackets: $18x^{2}+4-6x^{2}+12-5$.
Combine like terms and simplify: $12x^{2}+11$.