a: \(4x^2-12x+9=\left(2x-3\right)^2\)
b: \(4x^2+4x+1=\left(2x+1\right)^2\)
c: \(36x^2+12x+1=\left(6x+1\right)^2\)
d: \(9x^2-24xy+16y^2=\left(3x-4y\right)^2\)
a)\(=\left(2x\right)^2-2.2x.3+3^2\)
\(=\left(2x+3\right)^2\)
b)\(=\left(2x\right)^2+2.2x.1+1^2\)
\(=\left(2x+1\right)^2\)
c)\(=\left(6x\right)^2+2.6x.1+1^2\)
\(=\left(6x+1\right)^2\)
d)\(=\left(3x\right)^2-2.3x.4y+\left(4y\right)^2\)
\(=\left(3x-4y\right)^2\)