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[" Using properties of determinants,prove that "],[[x+y,x,x],[5x+4y,4x,2x],[10x+8y,8x,3x]]

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Using properties of determinants, 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

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 abs[[x,y,x+y],[y,x+y,x],[x+y,x,y]]=-2(x^3+y^3)

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

Using properties of determinants, prove the following |[x,x+y,x+2y],[x+2y,x,x+y],[x+y,x+2y,x]|=9y^2(x+y)

Using properties of determinants, prove the following |[x,x+y,x+2y],[x+2y,x,x+y],[x+y,x+2y,x]|=9y^2(x+y)

By using properties of determinants, prove that |[x+y+2z,x,y],[z,y+z+2x,y],[z,x,z+x+2y]|=2(x+y+z)^3