# Is there a way to write the following expression as a single identity?

while doing a problem I have the following expression

$$\left| \begin{array}{cc} y_2 & y_3 \\ y_2'' & y_3'' \\ \end{array} \right| y_1 + \left| \begin{array}{cc} y_1 & y_3 \\ y_1'' & y_3'' \\ \end{array} \right| y_2 + \left| \begin{array}{cc} y_1 & y_2 \\ y_1'' & y_2'' \\ \end{array} \right| y_3$$

Is there a way to write this as just one determinant? a 3by3 determinant of course

$\left | \begin{array}{ccc} y_1 & -y_2 & y_3 \\ y_1 & y_2 & y_3 \\ y_1^" & y_2^" & y_3^" \end{array} \right |$