Verified Answer :

\(16x^2 + 24x + 9 =\\ (4x+3)^2\)

\(16x^2+24x+9=(4x)^2+2(4x)(3)+3^2=(4x+3)^2=(4x+3)(4x+3)\)



\(16x^2+24x+9=16x^2+12x+12x+9=4x(4x+3)+3(4x+3)\\\\=(4x+3)(4x+3)\)