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|[3x+y,2x,x],[4x+3y,3x,3x],[5x+6y,4x,6x]...

|[3x+y,2x,x],[4x+3y,3x,3x],[5x+6y,4x,6x]|=x^(3)

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

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

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

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|{:(x+y,x,x),(5x+4y,4x,2x),(10x+8y,8x,3x):}|=x^3

If |[x,x+y, x+y+z],[2x,3x+2y,4x+3y+2z],[3x,6x+3y, 10 x+6y+3z]|=64 , then the real value of x is __________.

If |[x,x+y, x+y+z],[2x,3x+2y,4x+3y+2z],[3x,6x+3y, 10 x+6y+3z]|=64 , then the real value of x is __________.

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

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

If |(x, x+y, x+y+z),(2x,3x+2y, 4x+3y+2z),(3x,6x+3y, 10x+6y+3z)|=64 then the real value of x is