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Determinants — Applied Maths STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceApplied MathsDeterminants5 Marks
Question
Using properties of determinants, prove that:
$\left|\begin{array}{ccc}(y+z)^2 & x y & z x \\x y & (x+z)^2 & y z \\x z & y z & (x+y)^2\end{array}\right|=2 x y z(x+y+z)^3 .$
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