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What is | array ccc -a^2 & a b & a c a b & -b^2 & b c a c & b c & -c^2 array | equal to?

Options

  1. A4 a b c
  2. B4 a^2 b c
  3. C4 a^2 b^2 c^2
  4. D-4 a^2 b^2 c^2

Correct answer

C. 4 a^2 b^2 c^2

Step-by-step solution

aligned & | array ccc -a^2 & a b & a c a b & -b^2 & b c a c & b c & -c^2 array | & =a b c | array ccc -a & b & c a & -b & c a & b & -c array | & =a^2 b^2 c^2 | array ccc -1 & 1 & 1 1 & -1 & 1 1 & 1 & -1 array | & =a^2 b^2 c^2 | array ccc -1 & 1 & 1 0 & 0 & 2 0 & 2 & 0 array | & =a^2 b^2 c^2[(-1)(-4)] & =4 a^2 b^2 c^2 aligned

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