Use a Special Product Pattern to Find the Product $( u - ( v - 2 ) ) ( u + ( v - 2 ) )$

Multiple Choice

Use a special product pattern to find the product. $( u - ( v - 2 ) ) ( u + ( v - 2 ) )$

A) $u ^ { 2 } + ( v - 2 ) ^ { 2 }$
B) $u ^ { 2 } - ( v - 2 ) ^ { 2 }$
C) $u ^ { 2 } - 2 u ( v - 2 ) + ( v - 2 ) ^ { 2 }$
D) $u ^ { 2 } - 2 u ( v - 2 ) - ( v - 2 ) ^ { 2 }$
E) $u ^ { 2 } + 2 u ( v - 2 ) - ( v - 2 ) ^ { 2 }$