Use the Binomial Theorem to Expand and Simplify the Expression $( x + 6 ) ^ { 4 }$

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $( x + 6 ) ^ { 4 }$

A) $x ^ { 4 } - 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x + 1296$
B) $x ^ { 4 } - 24 x ^ { 3 } - 216 x ^ { 2 } + 864 x + 1296$
C) $x ^ { 4 } - 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x - 1296$
D) $x ^ { 4 } + 36 x ^ { 3 } - 216 x ^ { 2 } + 864 x - 1296$
E) $x ^ { 4 } + 24 x ^ { 3 } + 216 x ^ { 2 } + 864 x + 1296$