`|(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4)|`

By using properties of determinants , show that : (i) {:[( x+4, 2x, 2x),( 2x,x+4, 2x),( 2x,2x, x+4) ]:}=( 5x +4) (4-x)^(2) ( ii) {:[( y+k , y , y ),( y,y+ k , y ),( y,y , y+k ) ]:} =k^(2) ( 3y +k )

det [[x + 4,2x, 2x2x, x + 4,2x2x, 2x, x + 4]]

Prove the following : [[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]]-(5x+4)(4-x)^2

By using properties of determinants,prove the following ,2xdet[[x+4,2x,2x2x,x+4,2x2x,2x,x+4]]=(5x+4)(4-x)^(2)

By using properties of determinants, prove the following: |x+4 2x2x2xx+4 2x2x2xx+4|=(5x+4)(4-x)^2

By using properties of determinants, prove the following: |x+4 2x2x2xx+4 2x2x2xx+4|=(5x+4)(4-x)^2

2x^2(x^3-x)-3x(x^4+2x)-2(x^2-3x^4)

(3x + 2x^2 + 4x^3) / (x-4)