Multiply Using the Rule for the Product of the Sum $$[ 2 y + ( 4 x + 5 ) ] [ 2 y - ( 4 x + 5 ) ]$$

Multiple Choice

Multiply using the rule for the product of the sum and difference of two terms. Assume any variable exponents represent whole numbers.
- $$[ 2 y + ( 4 x + 5 ) ] [ 2 y - ( 4 x + 5 ) ]$$

A) $4 y ^ { 2 } - 16 x ^ { 2 } + 40 x + 25$
B) $4 y ^ { 2 } - 16 x ^ { 2 } - 20 x - 25$
C) $4 y ^ { 2 } - 16 x ^ { 2 } - 40 x - 25$
D) $4 y ^ { 2 } - 16 x ^ { 2 } - 40 x + 25$