1) a^2+b^2+2a-2b-2ab=(a^2-2ab+b^2)+(2a-2b)=(a-b)^2+2(a-b)=(a-b)(a-b+2)
2) a^6-8=(a^2)^3-2^3=(a^2-2)(a^4+2a^2+4)
3) (x-5)^2+(x-5)(x+5)=(x-5)(x-5+x+5)=2x(x-5)
4) -0,027x^6+y^3/64=(-0,3)x^2)^3+(y/4)^3=(-0,3x^2+y/4)(0,09x^4-(-0,3x^2y/4)+y^2/16)=
=(0,25y-0,3x^2)(0,09x^4+0,075x^2y+0,0625y^2)
5) (2a^2-5a+2)/(ab-2b-3a+6)=(2a^2-a-4a+2)/(b(a-2)-3(a-2))=
=(a(2a-1)-2(2a-1))/((a-2)(b-3))=((2a-1)(a-2))/((a-2)(b-3))=(2a-1)/(b-3)