1) (x+3)/(x^2+x-6) = (x+3)/((x+3)(x-2)) = 1/(x-2)2) (x+9)/(x^2+8x-9) = (x+9)/((x+9)(x-1)) = 1/(x-1)3) (x^2-4x+3)/(x-1) = (x^2-4x+3)/(x-1) = (x-1)(x-3)/(x-1) = x-34) (x^2-9x+20)/(x-4) = (x^2-9x+20)/(x-4) = (x-4)(x-5)/(x-4) = x-55) (x^2-4x+3)/(5x-5) = (x^2-4x+3)/5(x-1) = (x-3)/(5)
1) (x+3)/(x^2+x-6) = (x+3)/((x+3)(x-2)) = 1/(x-2)
2) (x+9)/(x^2+8x-9) = (x+9)/((x+9)(x-1)) = 1/(x-1)
3) (x^2-4x+3)/(x-1) = (x^2-4x+3)/(x-1) = (x-1)(x-3)/(x-1) = x-3
4) (x^2-9x+20)/(x-4) = (x^2-9x+20)/(x-4) = (x-4)(x-5)/(x-4) = x-5
5) (x^2-4x+3)/(5x-5) = (x^2-4x+3)/5(x-1) = (x-3)/(5)