Factor the Expression $( x - 2 ) ^ { 7 / 2 } - ( x - 2 ) ^ { 3 / 2 }$

Factor the expression. $( x - 2 ) ^ { 7 / 2 } - ( x - 2 ) ^ { 3 / 2 }$

A) $( x - 2 ) ^ { 2 } ( x - 1 ) ( x - 3 )$
B) $( x - 2 ) ( x - 1 ) ( x + 3 )$
C) $( x - 2 ) ^ { 3 / 2 } ( x + 1 ) ( x - 3 )$
D) $( x - 2 ) ^ { 1 / 2 } ( x - 1 ) ( x - 3 )$
E) $( x - 2 ) ^ { 3 / 2 } ( x - 1 ) ( x - 3 )$

Correct Answer:

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