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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")
![How to Sort Multiple Columns in Google Sheets [2025 Guide]](http://i.ytimg.com/vi/j0R52DJprgo/mqdefault.jpg "How to Sort Multiple Columns in Google Sheets [2025 Guide]")
![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")
![Show without expanding : |[(a - 1)^2, a^2 + 1, a],[(b - 1)^2, b^2 + 1, b],[(c - 1)^2, c^2, c]| = 0](http://i.ytimg.com/vi/F2NjzxVbU60/mqdefault.jpg "Show without expanding : |[(a - 1)^2, a^2 + 1, a],[(b - 1)^2, b^2 + 1, b],[(c - 1)^2, c^2, c]| = 0")