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`1)2y(x+2)-3x-6`

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

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

`2)3(x+4)-x^2-4x`

`=3(x+4)-x(x+4)`

`=(x+4)(3-x)`

`3)2(x+5)-x^2-5x`

`=2(x+5)-x(x+5)`

`=(x+5)(2-x)`

`4)x^2+6x-3(x+6)`

`=x(x+6)-3(x+6)`

`=(x+6)(x-3)`

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

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

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

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

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

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

`7)2x-6+5x(x-3)`

`=2(x-3)+5x(x-3)`

`=(x-3)(2+5x)`

`8)3x(x-2)-4x+8`

`=3x(x-2)-4(x-2)`

`=(x-2)(3x-4)`

`9)x(x+y)-3x-3y`

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

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

`10)x(x+y)-7x-7y`

`=x(x+y)-7(x+y)`

`=(x+y)(x-7)`

`11)x^2(x-y)+2x-2y`

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

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

`12)x(x+3y)-5x-15y`

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

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

`13)2x(x-5)+3x-15`

`=2x(x-5)+3(x-5)`

`=(x-5)(2x+3)`

`14)x(x+y)+ax+ay`

`=x(x+y)+a(x+y)`

`=(x+y)(x+a)`

`15)a(x+y)-4x-4y`

`=a(x+y)-4(x+y)`

`=(x+y)(a-4)`

`16)a(x-y)+bx-by`

`=a(x-y)+b(x-y)`

`=(x-y)(a+b)`

`17)xz+yz-5(x+y)`

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

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

`18)5(x-y)+ax-ay`

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

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