a,\(3x^3y-12x^2y^2+12xy^3\)
=3xy\(\left(x^2-4xy+4y^2\right)\)
=3xy\(\left(x-2y\right)^2\)
b, \(x^3-x^2-4x+4\)
=\(x^2\left(x-1\right)-4\left(x-1\right)\)
= \(\left(x^2-4\right).\left(x-1\right)\)
= (x-2)(x+2)(x-1)
c,\(x^2-9z^2-2xy+y^2\)
=\(\left(x^2-2xy+y^2\right)-9z^2\)
=\(\left(x-y\right)^2-9z^2\)
= \(\left(x-y-3z\right)\left(x-y+3z\right)\)
d, \(4x^2-9y^2+4x-6y\)
=\(\left(4x^2-9y^2\right)+\left(4x-6y\right)\)
= \(\left(2x-3y\right)\left(2x+3y\right)+2\left(2x-3y\right)\)
=\(\left(2x+3y+2\right)\left(2x-3y\right)\)
=
