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Operations on Algebraic Expressions — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSOperations on Algebraic Expressions2 Marks
Question
Expand: $\Big(\frac{\text{a}}{2}+\frac{2}{\text{a}}\Big)^2$
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Answer

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

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