If x-2y+2z=0 , then `x^3-8y^3+8z^3` is equal to

If x+y+z=0 , then x^3+y^3+8 equals

If 2x+3y+z=0 , then (8x^(3)+27y^(3)+z^(3))-:xyz is equal to

Three numbers x,y and z in arithmetic progression if x+y+z=-3 and xyz =8 then x^(2)+y^(2)+z^(2) is equal to

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 =0 . If the plane is perpendicular to the plane 3x - y - 2z - 4 = 0 , then the value of p is equal to

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 = 0 If the plane is perpendicular to the plane , 3x - y - 2z - 4 = 0 then the value of p is equal to

If 2x - 3y - 4z = 0 , then find 8 x^(3) - 27y^(3) - 64z^(3)

Factorize: x^3-8y^3+27 z^3+18 x y z

The plane x+3y+13=0 passes through the line of intersection of the planes 2x-8y+4z=pand3x-5y+4z+10=0 . If the plane is perpendicular to the plane 3x-y-2z-4=0 , then find p