행렬 $A= \begin{bmatrix*}[r] a & b & b & b \\ b & a & b & b \\ b & b & a & b \\ b & b & b & a \end{bmatrix*}$ 의 행렬식을 계산하면?

• ①$\left (a-b \right) ^ {3} \left (a+3b \right)$
• ②$\left (a-b \right) ^ {3} \left (a+b \right)$
• ③$\left (a-b \right) ^ {3} \left (a+2b \right)$
• ④$\left (b-a \right) ^ {3} \left (a+3b \right)$
• ⑤$\left (b-a \right) ^ {3} \left (a+2b \right)$