Similarly taking d common proceed you get answers
bc =ad is not in options only c will be the ans
How did you do it? Working?
As Raghudevram pointed out it needs to be a perfect cube
So ax^3 + 3bx^2y + 3cxy^2 + dy^3 must be a perfect cube
So if a=dk^3, b=dk^2, c=dk , we get
d(kx)^3 + 3d(kx)^2y + 3d(kx)y + dy^3
which is clearly a perfect cube