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Algebraic Expressions, Identities and Factorisation — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Simplify:$\Big(\frac{3}{4}\text{x}-\frac{4}{3}\text{y}\Big)^2+2\text{xy}$
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Answer

$\Big(\frac{3}{4}\text{x}-\frac{4}{3}\text{y}\Big)^2+2\text{xy}$$=\Big(\frac{3}{4}\text{x}\Big)^2+\Big(\frac{4}{3}\text{y}\Big)^2-2\times\frac{3}{4}\text{x}\times\frac{4}{3}\text{y}+2\text{xy}$
$=\frac{9}{16}\text{x}^2+\frac{16}{9}\text{y}^2-2\text{xy}+2\text{xy}$
$=\frac{9}{16}\text{x}^2+\frac{16}{9}\text{y}^2$

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