Simplify x3+1x2−1÷x2−x+1x2−2x+1\frac{x^3 + 1}{x^2 - 1} \div \frac{x^2 - x + 1}{x^2 - 2x + 1}x2−1x3+1÷x2−2x+1x2−x+1 and identify the restricted domain.
x−11\frac{x-1}{1}1x−1, x≠1,−1x \neq 1, -1x=1,−1
(x+1)(x−1)2(x−1)(x2−x+1)\frac{(x+1)(x-1)^2}{(x-1)(x^2-x+1)}(x−1)(x2−x+1)(x+1)(x−1)2, x≠1,−1x \neq 1, -1x=1,−1
x−1x-1x−1, x≠1,−1,0x \neq 1, -1, 0x=1,−1,0
x2−x+1x−1\frac{x^2-x+1}{x-1}x−1x2−x+1, x≠1,−1x \neq 1, -1x=1,−1