Factorize:$ 21 x^{2}-2 x+\frac{1}{21} $
Given :
\( 21 x^{2}-2 x+\frac{1}{21} \)
To do :
We have to factorize the given expression.
Solution :
$21 x^{2}-2 x+\frac{1}{21}=[\sqrt{21} x]^{2}-2 \times \sqrt{21}x \times \sqrt{\frac{1}{21}}+(\sqrt{\frac{1}{21}})^{2}$
$=[\sqrt{21} x-\frac{1}{\sqrt{21}}]^{2}$
Hence, $21 x^{2}-2 x+\frac{1}{21}=[\sqrt{21} x-\frac{1}{\sqrt{21}}]^{2}$.
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