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