a, \(8x^3y+4x^2y^3=4x^2y\left(2y^2+y^3\right)\)
b, \(9x^2y^2+3x^2+6x^2y=3x^2\left(3y^2+1+2y\right)\)
c, \(-12x^2y+36xy+24xy^2=-12xy\left(x-3-2y\right)\)
d, \(=\left(2x+1\right)\left(x-y\right)\)
e, \(=\left(4x^2+8x\right)\left(x-y\right)=4x\left(x+2\right)\left(x-y\right)\)
f, \(=\left(6ax^2-2ax\right)\left(x-3y\right)=2ax\left(3x-1\right)\left(x-3y\right)\)