Use the Binomial Theorem to Expand and Simplify the Expression $\left( x ^ { 3 / 4 } + 1 \right) ^ { 4 }$

Multiple Choice

Use the Binomial Theorem to expand and simplify the expression. $\left( x ^ { 3 / 4 } + 1 \right) ^ { 4 }$

A) $x ^ { 3 } + 1$
B) $x ^ { 3 } + 4 x ^ { 9 / 7 } + 6 x ^ { 3 / 2 } + 4 x ^ { 3 / 4 } + 1$
C) $x ^ { 3 } + 4 x ^ { 9 / 4 } + 6 x ^ { 3 / 2 } + 4 x ^ { 3 / 4 } + 1$
D) $- x ^ { 3 } + 4 x ^ { 9 / 4 } + 6 x ^ { 3 / 2 } + 4 x ^ { 3 / 4 } - 1$
E) $x ^ { 3 } + 4 x ^ { 2 } + 6 x + 1$