EXPANSION is expanded 1100299398497596695..........9839921001.
terms having even powers are perfect square so keep them aside....it becomes
299497695893......9831001.
now take single numbers from each powers to make powers even and consequently perfect squares.........
it becomes....
= (2.4.6.8....98.100)(298496694892.......982)
now second bracket becomes perfect square so keep it aside.......
we have..
=2.4.6.8...98.100
take 2 common from each term, it becomes,
=(250)(1.2.3.4.5.6.7.......49.50)
here it is. 250 is perfect square and second bracket is 50!
now original expression becomes,
=(perfect square)(50!)
so 50! should be removed for perfect square.
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