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![Prove that |[a^2, a^2 - (b - c)^2, bc],[b^2, b^2 - (c - a)^2, ca],[c^2, c^2 - (a - b)^2, ab]| = (a -](http://i.ytimg.com/vi/Yh86FUrzgiY/mqdefault.jpg "Prove that |[a^2, a^2 - (b - c)^2, bc],[b^2, b^2 - (c - a)^2, ca],[c^2, c^2 - (a - b)^2, ab]| = (a -")
![Prove that |[b^2 + c^2, a^2, a^2],[b^2, c^2 + a^2, b^2],[c^2, c^2, a^2 + b^2]| = 4a^2 b^2 c^2](http://i.ytimg.com/vi/IG15iLK0PtI/mqdefault.jpg "Prove that |[b^2 + c^2, a^2, a^2],[b^2, c^2 + a^2, b^2],[c^2, c^2, a^2 + b^2]| = 4a^2 b^2 c^2")