Вправи 201 - 342 » 259

259. Спростіть вираз (2a^2+ 2)/(a^2- 1) – (a+1)/(a-1) + (3a-3)/(2a+2) = (2a^2+ 2^(\2))/((a-1)(a+1)) – (a+ 1^(\2(a+1)))/(a-1) + (3a- 3^(\a-1))/(2(a+1)) = (2(2a^2+ 2)- 2(a+1)^2+ 3(a-1)^2)/(2(a-1)(a+1)) = (4a^2+ 4-2a^2- 4a-2+3a^2- 6a+3)/(2(a-1)(a+1)) = (5a^2- 10a+5)/(2(a-1)(a+1)) = (5(a-1)^2)/(2(a-1)(a+1)) = (5(a-1))/(2(a+1)).