Prove: `|(x+4,x,x),(x,x+4,x),(x,x,x+4)|=16(3x+4)`

Prove that: |(x+4,x,x),(x,x+4,x),(x,x,x+4)|=16(3x+4)

Without expanding, prove the following |(x+4,x,x),(x,x+4,x),(x,x,x+4)|=16(3x+4)

By using properties of determinats. Prove that- |(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4)| = (5x + 4) (x - 4)^2

Using Properties of determinants, prove that {:|(x+y,x,x),(5x+4y,4x,2x),(10x+8y,8x,3x)|=x^3

Prove that: |[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]|=(5x+4)(4-x)^2 .

Solve |(4-x,4+x,4+x),(4+x,4-x,4+x),(4+x,4+x,4-x)|=0

Prove that: 4|(x,y),(3x,0)|=3|(x,0),(5x,-4y)|

By using properties of determinants, prove that |[x+4,2x,2x],[2x,x+4,2x],[2x,2x,x+4]|=(5x+4)(4-x)^2

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

Using properties of determinants, prove that |(x+y, x,x),(5x + 4y ,4x, 2x),(10x+8y,8x,3x)| = x^(3) .