$F a c t o r i s e : 16 x^{2} - 16 x + 4$

(4 x - 2) (4 x - 2)

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(4 x - 2) (4 x + 2)

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(2 x - 4) (2 x - 4)

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(2 x - 4) (2 x + 4)

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Solution

The correct option is A $(4 x - 2) (4 x - 2)$
$Given: 16 x^{2} - 16 x + 4 = (4 x)^{2} - 2 \times (4 x) \times 2 + (2)^{2}$
Comparing this with the identity:
$a^{2} - 2 a b + b^{2} = (a - b)^{2} \Rightarrow 4 x = a a n d 2 = b S o, (4 x)^{2} - 2 \times (4 x) \times 2 + (2)^{2} = (4 x - 2)^{2} = (4 x - 2) (4 x - 2)$

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