(i) The first three terms in the expansion of

\(\left(3-\frac1{9x}\right)^5\)

can be written as \(a+\dfrac bx+\dfrac c{x^2}\). Find the value of each of the constants \(a\), \(b\) and \(c\).

(ii) Use your values of \(a\), \(b\) and \(c\) to find the term independent of \(x\) in the expansion of

\(\left(3-\frac1{9x}\right)^5(2+9x)^2.\)