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4x2-4x+1

=4x2-(2+2)x+1

=4x2-2x-2x+1

=2x(2x-1)-1(2x-1)

=(2x-1)(2x-1)

=4x2-(2+2)x+1

=4x2-2x-2x+1

=2x(2x-1)-1(2x-1)

=(2x-1)(2x-1)

⇒ 4x2-4x+1

⇒ 4x2 – 2x – 2x +1

⇒ 2x[2x – 1] – 1[2x – 1]

⇒ [2x– 1] [2x– 1]

⇒ 4x2 – 2x – 2x +1

⇒ 2x[2x – 1] – 1[2x – 1]

⇒ [2x– 1] [2x– 1]