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Mathematics
Mathematics
Problem
Compute the product
(
1998
2
−
1996
2
)
(
1998
2
−
1995
2
)
⋯
(
1998
2
−
0
2
)
(
1997
2
−
1996
2
)
(
1997
2
−
1995
2
)
⋯
(
1997
2
−
0
2
)
\frac{(1998^2 - 1996^2)(1998^2 - 1995^2) \cdots (1998^2 - 0^2)}{(1997^2 - 1996^2)(1997^2 - 1995^2) \cdots (1997^2 - 0^2)}
(
199
7
2
−
199
6
2
)
(
199
7
2
−
199
5
2
)
⋯
(
199
7
2
−
0
2
)
(
199
8
2
−
199
6
2
)
(
199
8
2
−
199
5
2
)
⋯
(
199
8
2
−
0
2
)
.
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