Question
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$\Big(\frac{\text{a}}{2}+\frac{2}{\text{a}}\Big)^2$
$\Big(\frac{\text{a}}{2}+\frac{2}{\text{a}}\Big)^2$
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Answer
$\Big(\frac{\text{a}}{2}+\frac{2}{\text{a}}\Big)^2$
$$$=\Big(\frac{\text{a}}2\Big)^2+2\times\frac{\text{a}}{2}×\frac{2}{\text{a}}+\Big(\frac{2}{\text{a}}\Big)2$
$=\frac{{\text{a}}^2}{4}+2+\frac{4}{\text{a}^2}$
$$$=\Big(\frac{\text{a}}2\Big)^2+2\times\frac{\text{a}}{2}×\frac{2}{\text{a}}+\Big(\frac{2}{\text{a}}\Big)2$
$=\frac{{\text{a}}^2}{4}+2+\frac{4}{\text{a}^2}$
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