(a^2+2ab+b^2)-c^2= (а+в)^2-c^2=(a+b-c)(a+b+c) ,
1-m^2-2mn-n^2= 1-(m^2+2mn+n^2)=1-(m+n)^2= (1-m-n)(1+m+n), x^2-2xc+c^2-d^2= (x^2-2xc+c^2)-d^2=(x-c)^2-d^2=(x-c-d)(x-c+d) ,
a^2+2a-b^2+1= проверь и уточни задание ,
x^2+2xy-m^2+y^2=(x+y)^2-m^2=(x+y-m)(x+y+m),
c^2-a^2+2ab-b^2=c^2-(a^2-2ab+b^2)=c^2-(a+b)^2=(c-a-b)(c+a+b) ,
x^3-x^2y-xy^2+y^3=(x^3+y^3)-xy(x+y)=(x+y)(x^2-xy+y^2)-xy(x+y)=
(x+y)(x^2-xy+y^2-xy)=(x+y)(x^2-2xy+y^2)=(x+y)(x-y)^2,
c^2+2c-d^2+2d=(c^2-d^2)+2(c+d)=(c-d)(c+d)+2(c+d)=(c+d)(c-d+2)