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化简(3+1)(32+1)(34+1)(38+1)得(  )

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化简(3+1)(32+1)(34+1)(38+1)得(  )
A. (38+1)2
B. (38-1)2
C. 316-1
D.
1
2
(3
(3+1)(32+1)(34+1)(38+1)
=
1
2(3-1)(3+1)(32+1)(34+1)(38+1)
=
1
2(32-1)(32+1)(34+1)(38+1)
=
1
2(34-1)(34+1)(38+1)
=
1
2(38-1)(38+1)
=
1
2(316−1).
故选D.