Ответ:

  1. \((1-m)^2-m^2+2m=1-2m+m^2-m^2+2m=1\).
  2. \(6-(m+2)^2+m^2+2m=6-(m^2+4m+4)+m^2+2m=2-2m\).
  3. \((3+p)(3-p)+p^2=9-p^2+p^2=9\).
  4. \(c^2+(2-c)(2+c)=c^2+4-c^2=4\).

Ответ: 1) 1; 2) 2−2m; 3) 9; 4) 4.