1) (x-4)(2x+5)-(x-4)(3x-6)=(х-4)(2х+5-3х+6)=(х-4)(-х+11);
2) (x+3)(y-3)-(3-y)(x-4)=(х+3)(у-3)+(у-3)(х-4)=(у-3)(х+3+х-4)=
=(у-3)(2х-1);
3) (x-5)(5-2x)+(2x-5)²=-(2х-5)(х-5)+(2х-5)(2х-5)=(2х-5)(-х+5+2х-5)=(2х-5)х;
4)(x-5)(2x-5)-(5-2x)²=(х-5)(2х-5)-(5-2х)(5-2х)=(х-5)(2х-5)+(2х-5)(5-2х)=(2х-5)(х-5+5-2х)=(2х-5)(-х)=
-х(2х-5);
5)x²+4x+4=х²+2х+2х+4=(х²+2х)+(2х+4)=х(х+2)+2(х+2)=(х+2)(х+2)