Question

factorize 4x square - 4 x + 1​

Answer 1

Given: 4x2+4x+1           =4x2+2x+2x+1,   (split middle term so that resultant is same)           =(4x2+2x)+(2x+1),   (group pair of terms)           =2x(2x+1)+1(2x+1),    (factor each binomials)           =(2x+1)(2x+1),         (factor out common factor (2x+1))            =(2x+1)2Aliter, use (a+b2)=a2+2ab+b2⇒4x2+4x+1=(2x)2+2×2x+12=(2x+1)2

Answer 2

Step-by-step explanation:

$4x^{2} - 2x - 2x + 1 \\ 2x(2 x - 1) - 1(2 x - 1) \\ (2x - 1)(2 x - 1) \\ (2 x - 1)^{2}$