行列式の計算です
    | 1  X  X |    |  1    X      X  |
    | X  1  X | =  | 0  1-x^2  x-x^2 | = |1-x^2  x-x^2 |
    | X  X  1 |    | 0  x-x^2  1-x^2 |     |x-x^2  1-x^2|
 =(1-x)^2 | 1+x  x |  =(1-x)^2・(1+2x)
          |  x   1+x|