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Operations on Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsOperations on Algebraic Expressions2 Marks
Question
Expand: $\Big(\frac{\text{x}}{\text{y}}-\frac{\text{y}}{\text{x}}\Big)^2$
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Answer

$\Big(\frac{\text{x}}{\text{y}}-\frac{\text{y}}{\text{x}}\Big)^2$
$=\Big(\frac{\text{x}}{\text{y}}\Big)^2-2\times\text{xy}\times\text{yx}+\Big(\frac{\text{y}}{\text{x}}\Big)^2$
$=\frac{\text{x}^2}{\text{y}^2}-2+\frac{\text{y}^2}{\text{x}^2}$

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