wykonaj dzialania: a) 2/x-3 + 5/x+3 b) x+3/x^2+2x +1/2x+4 c) x+1/x^2+2x+1 - x-1/x+1

a) 2/x-3 + 5/x+3 = 2(x +3)/(x-3)(x +3) + 5(x-3)/(x-3)(x +3) = 2x + 6 + 5x - 15/(x-3)(x +3) = 7x - 9/(x-3)(x +3) b) x+3/x^2+2x +1/2x+4 = x+3/x(x + 2) + 1/2(x + 2) = 2x + 6/2x(x + 2) + x/2x(x + 2) = 3x + 6/2x(x + 2) c) x+1/x^2+2x+1 - x-1/x+1 = x+1/(x+1)² - (x-1)²/(x+1)² = x + 1/(x+1)² - (x² - 2x + 1)/(x+1)² = - x² + 3x /(x+1)²