Вправи 101 - 200 » 105 (1-3)

Виконайте дії: 1) a – 4/a = 4^(\a)/1 – 4/a = (a^2- 4)/a; 2) 1/x + x – 2 = 1/x + x^(\x)/1 – 2^(\x)/1 = (1+ x^2- 2x)/x; 3) m/n^3 – 1/n + m = m/n^3 – 1^(\n^2 )/n + m^(\n^3 )/1 = (m- n^2+ n^3 m)/n^3 ; 4) (2k^2)/(k-5) – k = (2k^(2\1))/(k-5) – k^(\k-5)/1 = (2b^2- k(k-5))/(k-5) = (2k^2- k^2+ 5k)/(k-5) = (k^2+ 5k)/(k-5); 5) 3n – (9n^2- 2)/3n = (3n^(\3n))/1 – (9n^2- 2^(\1))/3n = (9n^2- 9n^2+ 2)/3n = 2/3n; 6) 5 – (4y-12)/(y-2) = 5^(\y-2)/1 – (4y-12)/(y-2) = (5(y-2)- (4y-12))/(y-2) = (5y-10-4y+12)/(y-2) = (y+2)/(y-2).