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Operations on Algebraic Expressions — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsOperations on Algebraic Expressions3 Marks
Question
Find following products:
$\Big(\text{x}-\frac{3}{\text{x}}\Big)\Big(\text{x}-\frac{3}{\text{x}}\Big)$
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Answer

$\Big(\text{x}-\frac{3}{\text{x}}\Big)\Big(\text{x}-\frac{3}{\text{x}}\Big)$
$=\Big(\text{x}-\frac{3}{\text{x}}\Big)^2$
$=(\text{x})^2-2\times\text{x}\times\frac{3}{\text{x}}+\Big(\frac{3}{\text{x}}\Big)^2 $
$=\text{x}^2-6+\frac{9}{\text{x}^2}$

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