- The binomial expansion of
$$( 3 + k x ) ^ { - 2 } \quad | k x | < 3$$
where \(k\) is a non-zero constant, may be written in the form
$$A + B x + C x ^ { 2 } + D x ^ { 3 } + \ldots$$
where \(A\), \(B\), \(C\) and \(D\) are constants.
- Find the value of \(A\)
Given that \(C = 3 B\)
- show that
$$k ^ { 2 } + 6 k = 0$$
- Hence (i) find the value of \(k\)
(ii) find the value of \(D\)