Question

Using properties of determinants, prove that following |(x,x²,1+px³)(y,y²,1+py³)(z,z²,1+pz³)| = (1+pxyz)(x+y)(y-z)(z-x)

Answer 1

[Taking common p from C₃, X from R₁, y from R₂ and z from R₃]

On interchanging C₁ and C₃ is 1st determinant,  we get