How to evaluate the determinant of a $n \times n$ matrix in a shortcut method?

Question

How to evaluate the determinant of a $n \times n$ matrix? I want to know the shortcut method. For e.g.$-$ If A $=$ $$\begin{bmatrix} 4 & 7 \\ 2 & 5 \\ \end{bmatrix} $$ , then the value of $|A|$ is $|A|=6$. Again if B $=$ $$\begin{bmatrix} 2 & 3 & 4 \\ 1 & 3 & 6 \\ 3 & 5 & 8 \\ \end{bmatrix} $$. Here clearly $|B|$=$$2\begin{bmatrix} 3 & 6 \\ 5 & 8 \\ \end{bmatrix} $$ $-$ $$3\begin{bmatrix} 1 & 6 \\ 3 & 8 \\ \end{bmatrix} $$ $+$ $$4\begin{bmatrix} 1 & 3 \\ 3 & 5 \\ \end{bmatrix} $$. Therefore the value of $|B|=2$. Similarly in this way we can also find the determinants of a $4 \times 4$ matrix, $5 \times 5$ matrix, etc. But if we clearly notice one thing then we can clearly see that it will be a very much lengthy process to find the determinants of a $n \times n$ matrix(for $n\geq 4$). For this reason only I want to know that is there any shortcut method for finding the determinant of a $n \times n$ matrix ?