" Prove that: ":|[x+y,x,x],[5x+4y,4x,2x],[10x+8y,8x,3x]|=x^(3)

Q.det[[x+y,x,x15x+4y,4x,2x10x+8y,8x,3x]]=x^(3)

Prove that: |x+y xx5x+4y4x2x10x+8y8x3x|=x^(3)

Prove that: |x+yx x5x+4y4x2x 10 x+8y8x3x|=x^3 .

Q. |(x+y,x,x),(15x+4y,4x,2x),(10x +8y,8x,3x)|=51x^3 Find the value of x.

The maximum degree of x by which determinant |(x+y,x,x),(5x+4y,4x,2x),(10x+8y,8x,3x)| divisible is a)0 b)1 c)2 d)3

If x=-2 and Delta=|(x+y,x,x),(5x+4y,4x,2x),(10x+8y,8x,3x)| then numerical value of Delta is

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

Prove that |{:(x,x+y,x+y+z),(2x,3x+2y,4x+3y+2z),(3x,6x+3y,10x+6y+3z):}|=x^3