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Which one of the following factors does the expansions of the determinant ( array ccc x & y & 3 x^2 & 5 y^3 & 9 x^3 & 10 y^3 & 27 array ) contain?

Options

  1. Ax -3
  2. Bx-y
  3. CY -3
  4. Dx-3 y

Correct answer

A. x -3

Step-by-step solution

On Applying array r C ₁ C ₁- C ₃ | array ccc x-3 & y & 3 x^2-9 & 5 y^3 & 9 x^3-27 & 10 y^5 & 27 array | (x-3) | array ccc 1 & y & 3 x+3 & 5 y^3 & 9 x^2+9-3 x & 10 y^5 & 27 array | array

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