<ol class="i-list"><li><div class="list-item-paragraph">Write down the general term in the binomial expansion of ${{\left( \frac{{{x}^{2}}}{4}+\frac{2}{x} \right)}^{18}}.$</div></li><li><div class="list-item-paragraph">Write down the power of $x$ in this general term.</div></li><li><div class="list-item-paragraph">Hence, or otherwise, determine the term independent of $x$ in the binomial expansion of ${{\left( \frac{{{x}^{2}}}{4}+\frac{2}{x} \right)}^{18}}.$</div></li></ol>

Write down the general term in the binomial expansion of ${{\left( \frac{{{x}^{2}}}{4}+\frac{2}{x} \right)}^{18}}.$

Write down the power of $x$ in this general term.

Hence, or otherwise, determine the term independent of $x$ in the binomial expansion of ${{\left( \frac{{{x}^{2}}}{4}+\frac{2}{x} \right)}^{18}}.$

Binomial Theorem

Question fd13def5

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