Use a Special Product Pattern to Find the Product $[ 9 u + ( v + 10 ) ] ^ { 2 }$

Multiple Choice

Use a special product pattern to find the product $[ 9 u + ( v + 10 ) ] ^ { 2 }$ .

A) $81 u ^ { 2 } + v ^ { 2 } + 18 u v + 180 u + 20 v + 100$
B) $81 u ^ { 2 } + v ^ { 2 } + 20 v + 100$
C) $81 u ^ { 2 } + v ^ { 2 } + 180 u + 20 v + 100$
D) $81 u ^ { 2 } + v ^ { 2 } + 100$
E) $81 u ^ { 2 } + v ^ { 2 } + 18 u v + 20 v + 100$