a: \(4x^2-6x=2x\left(2x-3\right)\)
b: \(9x^4y^3+3x^2y^4=3x^2y^3\left(3x^2+y\right)\)
c: \(x^3-2x^2+5x=x\left(x^2-2x+5\right)\)
d: \(3x\left(x-1\right)+5\left(x-1\right)=\left(x-1\right)\left(3x+5\right)\)
e: \(2x^2\left(x+1\right)+4\left(x+1\right)=2\left(x+1\right)\left(x^2+2\right)\)
f: \(-3x-6xy+9xz=-3x\left(1+2y-3z\right)\)