Consider the binomial 3x−2y. Answer the following.
(i) Expand (3x−2y)3 completely and arrange the terms in descending powers of x.
(ii) Compute the product (3x+2y)(3x−2y) and simplify your result.
(iii) Verify that the numerical coefficients of the like terms obtained in parts (i) and (ii) are consistent with the corresponding algebraic identities.