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The determinant \( \left\{\begin{array}{lll}b^{2}-a b & b-c & b c-a c \\ a b-a^{2} & a-b & b^{2}-a b \\ b c-a c & c-a & a b-a^{2}\end{array} \mid\right. \) equals
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(A) \( \quad a b c(b-c)(c-a)(a-b) \)
(B) \( (b-c)(c-a)(a-b) \)
(C) \( (a+b+c)(b-c)(c-a)(a-b) \)
(D) None of these
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