Вправи 101 - 200 » 175 (1)

175. Спростіть вираз: 1) (a- a^2/(a+1))/(a- a/(a+1)) = (a^(\a+1)/1- a^2/(a+1))/(a^(\a+1)/1- a/(a+1)) = (a(a+1)- a^2)/(a+1) : (a(a+1)- a)/(a+1) = (a^2+ a- a^2)/(a+1) : (a^2+ a-a)/(a+1) = (a )/(a+1) • (a+1)/a^2 = (a(a+1))/((a+1)a^2 ) = 1/a;