2. \(\quad \mathrm { f } ( x ) = ( 2 + k x ) ^ { - 3 } , \quad | k x | < 2\), where \(k\) is a positive constant
The binomial expansion of \(\mathrm { f } ( x )\), in ascending powers of \(x\), up to and including the term in \(x ^ { 2 }\) is
$$A + B x + \frac { 243 } { 16 } x ^ { 2 }$$
where \(A\) and \(B\) are constants.
- Write down the value of \(A\).
- Find the value of \(k\).
- Find the value of \(B\).