If a:b:c:d=\sqrt{4}:\sqrt{3}:\sqrt{2}:\sqrt{1}, then what is the value of \frac{(-a^{2}+b^{2}+c^{2}+d^{2})}{(a^{2}-b^{2}+c^{2}-d^{2})}?

Explanation

Let a^2=4k, b^2=3k, c^2=2k, d^2=1k. Substituting these into the expression yields \frac{-4k+3k+2k+k}{4k-3k+2k-k} = \frac{2k}{2k} = 1.

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