Answer
$-42$
Work Step by Step
We are given: $x=-3$, $y=4$, $z=6$
We take into account the order of operations:
Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction
Thus, we have:
$$(x^2-y^2)z=((-3)^2-4^2)6=(9-16)6\\
=-7*6=-42.$$