Question

4^2+4x+1
factorize
pls answer​

Answer 1

Answer:

Step-by-step explanation:

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)2

Aliter, use (a+b2)=a2+2ab+b2

⇒4x2+4x+1=(2x)2+2×2x+12=(2x+1)2