Multiply Using the Rule for the Product of the Sum $$( 3 x - y + 4 z ) ( 3 x - y - 4 z )$$

Multiple Choice

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
- $$( 3 x - y + 4 z ) ( 3 x - y - 4 z )$$

A) $9 x ^ { 2 } - 6 x y + y ^ { 2 } + 24 x z + 8 y z - 16 z ^ { 2 }$
B) $9 x ^ { 2 } - 6 x y + y ^ { 2 } - 16 z ^ { 2 }$
C) $9 x ^ { 2 } + y ^ { 2 } - 16 z ^ { 2 }$
D) $9 x ^ { 2 } + y ^ { 2 } + 24 x z + 8 y z - 16 z ^ { 2 }$