a) x²-9/x²-4 * x+2/x-3 = x³ + 2x² - 9x - 18/ x³ - 3x² - 4x + 12 = [ x³ + 2x² - 9x - 18 w liczniku,x³ - 3x² - 4x + 12 w mianowniku] x²(x + 2) - 9(x + 2)/x²(x - 3) - 4(x - 3) = (x + 2)(x² - 9)/(x -3) (x² - 4) = (x +2)(x - 3)(x + 3)/(x -3)(x +2)(x -2) = (x + 3) / (x -2) b)x²-4/x³+3x² * x^4-9x²/x²+2x = (x -2)(x +2)/x²(x + 3) * x²(x² - 9)/x(x + 2) = (x -2)(x +2)/x²(x + 3) * x²(x - 3)(x + 3)/x(x + 2) = (x -2)/x² * x²(x - 3)/x = (x -2) * (x -3)/x = x² - 5x + 6/x
b) x^2-4/x^3+3x^2 * x^4-9x^2/x^2+2x=(x-2)(x+2)/x²*(x+3)*x²*(x²-9)/x(x+2)=(x-2)(x+2)/x²(x+3)*x²(x-3)(x+3)/x(x+2)=(x-2)*(x-3)/x=x²-5x+6/x
