计算:(3+1)(32+1)(34+1)(38+1)−3162.
问题描述:
计算:
. (3+1)(32+1)(34+1)(38+1)−316
2
答
分母=
(32-1)(32+1)(34+1)(38-1)-3161 2
=
(34-1)(34+1)(38+1)-3161 2
=
(38-1)(38+1)-3161 2
=
(316-1)-3161 2
=-
(316+1),1 2
则原式=
=-−
(316+1)1 2 2
(316+1).1 4