Moderate -0.3 This is a standard binomial expansion question requiring students to identify which term has x^0 by setting up the general term and solving for r. It's slightly easier than average because it's a single-step application of a well-practiced technique with no additional complications, though it does require careful algebraic manipulation of powers.
\(28 \times 64 \times \frac{1}{4}\) oe (powers and factorials evaluated)
B2,1,0
May be seen within a number of terms
\(448\)
B1 [4]
Identified as answer
## Question 2:
$8C6(2x)^6\left(\frac{1}{2x^3}\right)^2$ soi | **B1** | May be seen within a number of terms
$28 \times 64 \times \frac{1}{4}$ oe (powers and factorials evaluated) | **B2,1,0** | May be seen within a number of terms
$448$ | **B1** [4] | Identified as answer
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2 Find the term independent of $x$ in the expansion of $\left( 2 x + \frac { 1 } { 2 x ^ { 3 } } \right) ^ { 8 }$.
\hfill \mbox{\textit{CAIE P1 2016 Q2 [4]}}