Compute the product .

MATHEMATICS · Subjective · AoPS · Mathematics · Special Factorizations · Special Factorizations

Problem

Compute the product

\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)}