Question

Subtract. (x2−4x+1)/(x2−6x+9)−(x+1)/(x−3)

Answer 1

2/(x-3)^2

Explanation:

Factor x^2-6x+9: (x-3)^2

Adjust fractions based on LCM:

`((x^(2) -4x+1)/(x-3)^2)-((x-1)(x-3/(x-3)^2`

Combine Fractions b/c denominators are equal:

`x^2-4x+1-(x-1)(x-3)/(x-3)^2`

Expand and simplify