числитель: 6x^2 - x - 1
найдем корни: D = 1 - 4*6*(-1) = 1+24 = 25
x1 = (1+5)/12 = 6/12 = 1/2 x2 = (1-5)/12 = -4/12 = -1/3
6x^2 - x - 1 = 6*(x-1/2)*(x+1/3) = 2*(x-1/2)*3*(x+1/3) = (2x - 1)*(3x + 1)
знаменатель: 9x^2 - 1 = (3x)^2 - 1 = (3x - 1)*(3x + 1)
получится: (2x-1)/(3x-1)
числитель: 6x^2 - x - 1
найдем корни: D = 1 - 4*6*(-1) = 1+24 = 25
x1 = (1+5)/12 = 6/12 = 1/2 x2 = (1-5)/12 = -4/12 = -1/3
6x^2 - x - 1 = 6*(x-1/2)*(x+1/3) = 2*(x-1/2)*3*(x+1/3) = (2x - 1)*(3x + 1)
знаменатель: 9x^2 - 1 = (3x)^2 - 1 = (3x - 1)*(3x + 1)
получится: (2x-1)/(3x-1)