Expand the Following Binomial by Using Pascal's Triangle $$( 2 x - 4 ) ^ { 5 }$$

Expand the following binomial by using Pascal's Triangle.
$$( 2 x - 4 ) ^ { 5 }$$

A) $32 x ^ { 5 } - 1024$
B) $- 1024 x ^ { 5 } + 1280 x ^ { 3 } + 32$
C) $32 x ^ { 5 } - 320 x ^ { 4 } + 1280 x ^ { 3 } - 2560 x ^ { 2 } + 2560 x - 1024$
D) $32 x ^ { 5 } + 2560 x ^ { 4 } - 2560 x ^ { 3 } + 1280 x ^ { 2 } - 320 x - 1024$
E) $\quad 32 x ^ { 5 } - 64 x ^ { 4 } + 128 x ^ { 3 } - 256 x ^ { 2 } + 512 x - 1024$

Correct Answer:

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