Multiply Using One of the Rules for the Square of a Binomial

Multiple Choice

Multiply using one of the rules for the square of a binomial. Assume any variable exponents represent whole numbers.
- $$\left( 10 a ^ { n } - b ^ { n } \right) ^ { 2 }$$

A) $100 a ^ { n } - 20 a ^ { n } b ^ { n } + b ^ { n }$
B) $100 a ^ { 2 n } - 20 a b + b ^ { 2 n }$
C) $100 a ^ { 2 n } - 20 a ^ { n } b ^ { n } + b ^ { 2 n }$
D) $100 a ^ { 2 n } - 10 a ^ { n } b ^ { n } + b ^ { 2 n }$