Factorise the following using appropriate identify : $4 y^{2} - 4 y + 1$

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Solution

Consider the given expression,

$\Rightarrow 4 y^{2} - 4 y + 1$

$\Rightarrow {(2 y)}^{2} - 2.2 y + 1^{2}$

We know that,

$A^{2} - 2 A B + B^{2} = {(A - B)}^{2}$

So, ${(2 y)}^{2} - 2.2 y + 1^{2} = {(2 y - 1)}^{2}$

Hence, this is the answer.

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