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Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$\text{x}^2+6\sqrt{6}\text{x}+48$
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Answer

$\text{x}^2+6\sqrt{6}\text{x}+48$
$=\text{x}^2+4\sqrt{6}\text{x}+2\sqrt{6}\text{x}+48$
$=\text{x}(\text{x}+4\sqrt{6})+2\sqrt{6}(\text{x}+4\sqrt{6})$
$=(\text{x}+4\sqrt{6})(\text{x}+2\sqrt{6})$

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