If (a - 2b - 3c + 4d)\(a + 2b - 3c - 4d) = (a - 2b + 3c - 4d)\(a + 2b + 3c + 4d) show that : 2ad = 3bc.

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If (a + b + c + d)(a - b - c - d) = (a + b - c - d)(a - b + c - d);
prove that : a : b = c : d.