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Operations on Algebraic Expressions — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSOperations on Algebraic Expressions2 Marks
Question
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$\Big(\frac{3\text{x}}{4}+\frac{2\text{y}}{9}\Big)^2$
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Answer

$\Big(\frac{3\text{x}}{4}+\frac{2\text{y}}{9}\Big)^2$
$=\Big(\frac{3\text{x}}{4}\Big)^2+2×\frac{3\text{x}}{4}×\frac{2\text{y}}{9}+\Big(\frac{2\text{y}}{9}\Big)^2​​​​​​​$
$=\frac{9\text{x}^2}{16}+\frac{1}{3}\text{xy}+\frac{4}{81}\text{y}^2 $

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