Задачі підвищеної складностістр » 3 (1)

Спростіть вираз: 1) (1/x- 1/(y+z))/(1/x+ 1/(y+z)) • (1 + (y^2+ z^2- x^2)/2yz) : (x-y-z)/xyz = (x(x-y-z))/2. 1. (1/x- 1/(y+z))/(1/x+ 1/(y+z)) = (y+z-x)/(x(y+z)) : (y+z+x)/(x(y+z)) = (y+z-x)/(y+z+x); 2. 1 + (y^2+ z^2- x^2)/2yz = (y^2+ 2yz+ z^2- x^2)/2yz = ((y+ 〖z)〗^2- x^2)/2yz; 3. (y+z-x)(y+z-x)(y+z+x)xyz/((y+z+x) • 2yz(x-y-z)) = ((x-y-z)^2 x)/(2(x-y-z)) = (x-y-z)x/2.