Answer
$7x^{2}+15$
Work Step by Step
Start with given expression: $14x^{2}+5-[7(x^{2}-2)+4]$.
Distribute $7$ through terms in inner parentheses: $14x^{2}+5-[7x^{2}-14+4]$.
Distribute $-1$ through brackets: $14x^{2}+5-7x^{2}+14-4$.
Combine like terms and simplify: $7x^{2}+15$.