Вправа 201 - 300 » 214 (б)

б) (x^2- yz)/((x- y)(x- z)) + (y^2+ xz)/((y+ z)(y- x)) + (z^2+ xy)/((z- x)(z+ y)) = 0; (x^2- yz)/((x- y)(x- z)) – (y^2+ xz)/((y+ z)(y- x)) – (z^2+ xy)/((x- z)(z+ y)) = 0; (〖(x〗^2- yz)(y+ z)-〖(y〗^2+ xz)(x- z)- 〖(z〗^2+ xy)(x- y) )/((x- y)(x- z)(y+ z)) = 0; (x^2 y- x^2 z-y^2 z- yz^2-y^2 x+ y^2 z-x^2 z+ xz^2- xz^2+ yz^2- x^2 y+ xy^2 )/((x- y)(x- z)(y+ z)) = 0; 0 = 0. Тотожність доведено.