问题 选择题
化简(3+1)(32+1)(34+1)(38+1)得(  )
A.(38+1)2B.(38-1)2C.316-1D.
1
2
(316-1)
答案

(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.

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