Binomial Theorem
Grade 11
Question:
<p>In the expansion of <span class="math-tex">\(\left(2 x+\frac{1}{2 x}\right)^{6}\)</span>, if the coefficient of x<sup>2</sup> is k times the coefficient of x<sup>-2</sup> then k equals:</p>
<p style="display:inline">8</p>
<p style="display:inline">4</p>
<p style="display:inline">32</p>
<p style="display:inline">16</p>
Step-by-Step Solution
Key Concept: Determine the general term of the binomial expansion to equate the power of x to the required exponents and extract their respective coefficients.
<p>16</p>
Correct Answer: D