РОЗДІЛ 2. Раціональні вирази - Вправи 50 - 200 » 147 (6-10)

6) 〖4+ c〗^2/(c-2) – 4c/(c-2) = (〖4+ c〗^2-4c)/(c-2) = 〖(c-2)〗^2/(c-2) = c – 2; 7) 6/(x-3) + 2x/(3- x) = 6/(x-3) – 2x/(x-3) = (6-2x)/(x-3) = (-(2x-6))/(x-3) = (-2(x-3))/(x-3) = –2; 8) y^2/(2- y) + 4/(y-2) = y^2/(2- y) – 4/(2- y) = (y^2-4)/(2- y) = ((y-2)(y+2))/(2- y) = (-(2- y)(y+2))/(2- y) = –y – 2; 9) 〖3+ c〗^2/(c-1) + 4/(1- c) = 〖3+ c〗^2/(c-1) – 4/(c-1) = (〖3+ c〗^2-4)/(c-1) = (c^2-1)/(c-1) = ((c-1)(c+1))/(c-1) = c + 1; 10) (〖5(c〗^2+1))/〖(c-1)〗^2 + 10c/〖(1- c)〗^2 = (〖5c〗^2+5+10c)/〖(c-1)〗^2 = (〖5c〗^2+10c+5)/〖(c-1)〗^2 .