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![Prove that |[1 +a^2 -b^2, 2ab, -2b],[2ab, 1-a^2 +b^2, 2a],[2b, -2a, 1-a^2 -b^2]| = (1 + a^2 + b^2)^3](http://i.ytimg.com/vi/B7UwIYXEcX8/mqdefault.jpg "Prove that |[1 +a^2 -b^2, 2ab, -2b],[2ab, 1-a^2 +b^2, 2a],[2b, -2a, 1-a^2 -b^2]| = (1 + a^2 + b^2)^3")
![|[ 1 1 1; a^2 b^2 c^2; b^2+c^2 c^2+a^2 a^2+b^2 ]…](http://i.ytimg.com/vi/88uQOvFXiVs/mqdefault.jpg "|[ 1 1 1; a^2 b^2 c^2; b^2+c^2 c^2+a^2 a^2+b^2 ]…")
![Prove that |[a - b - c, 2a, 2a],[2b, b - c - a, 2b],[2c, 2c, c - a - b]| = (a + b +c)^3](http://i.ytimg.com/vi/F6Kll3fQIB0/mqdefault.jpg "Prove that |[a - b - c, 2a, 2a],[2b, b - c - a, 2b],[2c, 2c, c - a - b]| = (a + b +c)^3")