Without expanding the determinants Prove that
`|{:(103,,115,,114),(111,,108,,106),(104,,113,,116):}| + |{:(113,,116,,104),(108,,106,,111),(115,,114,,103):}|=0`

Explanation

To prove that

\[ | \begin{vmatrix} 103 & 115 & 114 \\ 111 & 108 & 106 \\ 104 & 113 & 116 \end{vmatrix} | + | \begin{vmatrix} 113 & 116 & 104 \\ 108 & 106 & 111 \\ 115 & 114 & 103 \end{vmatrix} | = 0 \]

we will denote the first determinant as \( D \) and the second determinant as \( D' \).

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