1) 4/(x²+4x+4)=4/(x+2)².
2) (x²+12)/(x²-+2)/(x-2)=(x²+12)/((x-2)(x++2)/(x-2)=
=(x²+12-(x+2)²)/((x+2)(x-2))=(x²+12-x²-4x-4)/((x+2)(x-2))=(-4x-8)/((x+2)(x-2))=
=-4*(x-2)/((x+2)(x-2))=-4/(x+2).
3) (4/(x+2)²): (-4/(x+2))=4*(x+2)/(-4*(x+2)²)=-1/(x+2)=-1/(-1+2)=-1/1=-1.
1) 4/(x²+4x+4)=4/(x+2)².
2) (x²+12)/(x²-+2)/(x-2)=(x²+12)/((x-2)(x++2)/(x-2)=
=(x²+12-(x+2)²)/((x+2)(x-2))=(x²+12-x²-4x-4)/((x+2)(x-2))=(-4x-8)/((x+2)(x-2))=
=-4*(x-2)/((x+2)(x-2))=-4/(x+2).
3) (4/(x+2)²): (-4/(x+2))=4*(x+2)/(-4*(x+2)²)=-1/(x+2)=-1/(-1+2)=-1/1=-1.