`bb1.`

`x^2-2x+2y-xy`

`=(x^2-2x)-(xy-2y)`

`=x(x-2)-y(x-2)`

`=(x-2)(x-y)`

`bb2.`

`x^2+xy-2x-2y`

`=(x^2+xy)-(2x+2y)`

`=x(x+y)-2(x+y)`

`=(x+y)(x-2)`

`bb3.`

`x^2-xy-6x+6y`

`=(x^2-xy)-(6x-6y)`

`=x(x-y)-6(x-y)`

`=(x-y)(x-6)`

`bb4.`

`2xy+3z+6y+xz`

`=2xy+6y+xz+3z`

`=(2xy+6y)+(xz+3z)`

`=2y(x+3)+z(x+3)`

`=(x+3)(2y+z)`

`bb5.`

`3x^2-3xy-5x+5y`

`=(3x^2-3xy)-(5x-5y)`

`=3x(x-y)-5(x-y)`

`=(x-y)(3x-5)`

`bb6.`

`x^2-6x-2xy+12y`

`=(x^2-6x)-(2xy-12y)`

`=x(x-6)-2y(x-6)`

`=(x-6)(x-2y)`

`bb7.`

`x^2+3xy-5x-15y`

`=(x^2+3xy)-(5x+15y)`

`=x(x+3y)-5(x+3y)`

`=(x+3y)(x-5)`

`bb8.`

`3x^2-2x-3xy+2y`

`=3x^2-3xy-2x+2y`

`=(3x^2-3xy)-(2x-2y)`

`=3x(x-y)-2(x-y)`

`=(x-y)(3x-2)`

`bb9.`

`3x^2-3xy-5x+5y`

`=(3x^2-3xy)-(5x-5y)`

`=3x(x-y)-5(x-y)`

`=(x-y)(3x-5)`

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