x^(3)y^(3)-512

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Show that |(x+y,y+z,z+x),(y+z,z+x,x+y),(z+x,x+y,y+z)|=2[3xyz-x^(3)-y^(3)-z^(3)]

x^3-512

If x>0,y>0,z>0 and x^(2)*y^(3)*z^(4)=512 then the least value of 2x+3y+4z is equal to

Factorize: (a-2b)^(3)-512b^(3)

If (x+y):(x-y)=7:3, then find the ratio (x^(3)+y^(3)):(x^(3)-y^(3))

for x=3 and y=-2 verify that (x-y)^(3)=x^(3)-y^(3)-3xy(x-y)

If (x+y) prop (x-y) , then show that (x^(3) +y^(3)) prop (x^(3)-y^(3)) .

If (x^(3)+y^(3) )prop (x^(3)-y^(3)) , then prove that (x+y) prop (x-y).

x^(3)(y-z)^(3)+y^(3)(z-x)^(3)+z^(3)(x-y)^(3)

((x^(3)-y^(3))^(3)+(y^(3)-z^(3))^(3)+(z^(3)-x^(3))^(3))/((x-y)^(3)+(y-z)^(3)+(z-x)^(3))