Easy -1.2 This is a straightforward application of the binomial theorem with small integer power (n=4), requiring only direct substitution into the formula and basic arithmetic. Part (b) is trivial pattern recognition from part (a) with alternating signs. No problem-solving or insight needed—pure mechanical calculation below typical A-level difficulty.
2. (a) Use the binomial theorem to find all the terms of the expansion of
$$( 2 + 3 x ) ^ { 4 }$$
Give each term in its simplest form.
(b) Write down the expansion of
$$( 2 - 3 x ) ^ { 4 }$$
in ascending powers of \(x\), giving each term in its simplest form.
2. (a) Use the binomial theorem to find all the terms of the expansion of
$$( 2 + 3 x ) ^ { 4 }$$
Give each term in its simplest form.\\
(b) Write down the expansion of
$$( 2 - 3 x ) ^ { 4 }$$
in ascending powers of $x$, giving each term in its simplest form.\\
\hfill \mbox{\textit{Edexcel C2 2013 Q2 [5]}}