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(1+151)×(1-151)×(1+152)(1-152)×…×(1+1152)×(1−1152)=.

题目详情
(1+
1
51
)×(1-
1
51
)×(1+
1
52
)(1-
1
52
)×…×(1+
1
152
)×(1−
1
152
)=______.
▼优质解答
答案和解析
(1+
1
51
)×(1-
1
51
)×(1+
1
52
)(1-
1
52
)×…×(1+
1
152
)×(1−
1
152
)
=
52
51
×
50
51
×
53
52
×
51
52
×
54
53
×
52
53
…×
153
152
×
151
152

=
50
51
×
52
51
×
51
52
×
53
52
×
52
53
×
54
53
…×
151
152
×
153
152

=
50
51
×
153
152

=
7650
7752

=
75
76