Question

\(36x^2+36x+9\)

Answer 1

\(36x^2+36x+9=9\left(4x^2+4x+1\right)=9\left(2x+1\right)^2\)

Answer 2

`= 9(4x^2 + 4x+1) = 9(2x+1)^2`

Answer 3

\(36x^2+36x+9\)

\(\Leftrightarrow9\left(4x^2+4x+1\right)\)

\(\Leftrightarrow9\left(4x^2+2x+2x+1\right)\)

\(\Leftrightarrow9\left[2x\left(2x+1\right)\left(2x+1\right)\right]\)

\(\Leftrightarrow9\left(2x+1\right)\left(2x+1\right)\)

\(\Leftrightarrow9\left(2x+1\right)^2\)