1.
ab³-4ab=ab(b²-4)=ab(b+2)(b-2)
2.
3x²y+12xy²+12y³
=3y(x²+4xy+4y²)
=3y(x+2y)²
3.
x³y-2x²y²+xy³
=xy(x²-2xy+y²)
=xy(x-y)²
4.
12a⁴b²-27a²b⁴
=3a²b²(4a²-9b²)
=3a²b²(2a+3b)(2a-3b)
5.
x²-xy+xz-yz
=x(x-y)+z(x-y)
=(x-y)(x+z)
6.
x²-y²+xz+yz
=(x+y)(x-y)+z(x+y)
=(x+y)(x-y+z)
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