Using properties of determinants, prove the following :|(x+4,2x,2x)(2x,x+4,2x)(2x,2x,x+4)| = (5x + 4)(4 - x)^2 - Sarthaks eConnect

Using properties of determinants, prove the following :

\(\begin{vmatrix} x+4 & 2x & 2x \\[0.3em] 2x & x+4 & 2x \\[0.3em] 2x & 2x & x+4 \end{vmatrix}\)= (5x + 4)(4 - x)²

1 Answer

Using properties of determinants, prove the following :|(x+4,2x,2x)(2x,x+4,2x)(2x,2x,x+4)| = (5x + 4)(4 - x)^2