Answer
$x^2-3x-7$
Work Step by Step
We start with the given expression: $(x^2-2)-(3x+5)$
We remove the parentheses using the distributive property: $x^2-2-3x-5$
We use the commutative and associative properties of addition to group like terms: $x^2-3x+(-2-5)$
We combine the like terms: $x^2-3x-7$
