a: \(=\left(a+b\right)^2+2\left(a+b\right)+1=\left(a+b+1\right)^2\)
b: \(=x^2\left(a+b\right)-x\left(a+b\right)+\left(a+b\right)=\left(a+b\right)\left(x^2-x+1\right)\)
c: \(=3\left(x-2y\right)\left(x-2y\right)=3\left(x-2y\right)^2\)
d: \(=\left(x-y\right)^2-\left(m-n\right)^2\)
\(=\left(x-y-m+n\right)\left(x-y+m-n\right)\)
g: \(=\left(x+2\right)\left(x^2-2x+4\right)-4x\left(x+2\right)=\left(x+2\right)\left(x^2-6x+4\right)\)
h: \(=\left(4x+2y\right)^2-9\)
\(=\left(4x+2y-3\right)\left(4x+2y+3\right)\)