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Prove that Delta = |{:(1,,1,,1),(a,,b,,...

Prove that `Delta = |{:(1,,1,,1),(a,,b,,c),(bc+a^(2),,ac+b^(2),,ab+c^(2)):}|`
`= 2(a-b)(b-c)(c-a)`

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To prove that \[ \Delta = | \begin{vmatrix} 1 & 1 & 1 \\ a & b & c \\ bc + a^2 & ac + b^2 & ab + c^2 \end{vmatrix} | = 2(a-b)(b-c)(c-a), \] we will follow these steps: ...
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