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计算:8(72+1)(74+1)(78+1)(716+1)(732+1).

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/12 05:05:57
计算:8(72+1)(74+1)(78+1)(716+1)(732+1).
原式=
(7+1)(7−1)(72+1)
6•(74+1)(716+1)(78+1)
=
1
6(72-1)(72+1)(74+1)(78+1)(716+1)(732+1)
=
1
6(74-1))(74+1)(78+1)(716+1)(732+1)
=
1
6(78-1)(78+1)(716+1)(732+1)
=
1
6(716-1)(716+1)(732+1)
=
1
6(732-1)(732+1)
=
1
6(764-1).