Question

Splitting the middle term 4x^2-4x+1

Answer 1

Answer:

4x^2-4x+1

=4x^2-2x-2x+1

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

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

X=1/2 & X=1/2

Answer 2

Answer:

$\bold{x = \frac{1}{2} \: and \: x = \frac{1}{2} }$

Step-by-step explanation:

$\bold{4 {x}^{2} - 4x + 1} \\ \bold{4 {x}^{2} - 2x - 2x + 1} \\ \bold{2x(2x - 1) - 1(2x - 1)} \\ \bold{(2x - 1)(2x - 1)} \\ x = \frac{1}{2} \: and \: x = \frac{1}{2}$