Answer
$-7n^2+13n+19$
Work Step by Step
We write an expression to express this subtraction problem: $(-4n^2+6n+10)-(3n^2-7n-9)$
We use the commutative, associative, and distributive properties to group like terms: $(-4-3)n^2+(6-(-7))n+(10-(-9))$
We combine the like terms within each set of parentheses: $-7n^2+13n+19$