Question: Need help with writing the code!

The deltoid plane curve with parameter a  is the set of all points (x, y) in the plane satisfying the equation 
     (1)   (x^2+y^2)^2 - 8ax(x^2 - 3y^2) + 18a^2(x^2+y^2)=27a^4

and the same curve may be described by the parametric equations:

     (2)    
                  x = a (2 cos(t) + cos(2 t))
,      
                  y = a (2 sin(t) - sin(2 t))

(a) Using equation (1) and the command implicitplot graph the deltoid curves with parameters a = 1, 2, and 3 on the same axes.

(b) Using equations (2) and the plot command graph the deltoid curves with parameters a = 1, 2, and 3 on the same axes.

Remark: You will need to do some experimenting with the ranges of the plots and the option numpoints in question (a) to get a decent picture. Note that you can copy and paste equations (1) and (2) and with some judicious editing can save yourself the trouble of typing them.