Use the Binomial Theorem to Expand the Expression $( 4 x + 1 ) ^ { 5 }$

Multiple Choice

Use the binomial theorem to expand the expression.
- $( 4 x + 1 ) ^ { 5 }$

A) $1024 x ^ { 5 } + 1$
B) $1024 x ^ { 5 } + 256 x ^ { 4 } + 64 x ^ { 3 } + 16 x ^ { 2 } + 4 x + 1$
C) $1024 x ^ { 5 } + 20 x ^ { 4 } + 160 x ^ { 3 } + 160 x ^ { 2 } + 20 x + 1$
D) $1024 x ^ { 5 } + 1280 x ^ { 4 } + 640 x ^ { 3 } + 160 x ^ { 2 } + 20 x + 1$