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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Updated on: 10-Oct-2022

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