What is the coefficient of the middle term in the binomial expansion of $(2+3x{)}^4$?

For a square matrix $A,$ which of the following properties hold?
1. ${\left(A^{-1}\right)}^{-1}=A$
2. $det\left(A^{-1}\right)=\frac{1}{detA}$
3. $(\lambda A{)}^{-1}=\lambda A^{-1},$ where $\lambda$ is a scalar

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Which one of the following factors does the expansion of the determinant $\left|\begin{array}{ccc}x& y& 3\\ x^2& 5y^3& 9\\ x^3& 10y^5& 27\end{array}\right|$ contain?

If $a+b+c=0,$ then one of the solutions of $\left|\begin{array}{ccc}a-x& c& b\\ c& b-x& a\\ b& a& c-x\end{array}\right|=0$ is