Using properties of determinants prove that:

Question:

Using properties of determinants prove that:

$\left|\begin{array}{ccc}a^{2}+2 a & 2 a+1 & 1 \\ 2 a+1 & a+2 & 1 \\ 3 & 3 & 1\end{array}\right|=(a-1)^{3}$

Solution:

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