Divide: x2+3x+2x+1÷x+2x−1\dfrac{x^2 + 3x + 2}{x + 1} \div \dfrac{x + 2}{x - 1}x+1x2+3x+2÷x−1x+2 (assume no zero denominators).
x−1x - 1x−1
x+1x + 1x+1
(x+1)(x+2)(x+1)(x−1)\dfrac{(x+1)(x+2)}{(x+1)(x-1)}(x+1)(x−1)(x+1)(x+2)
x+1x−1\dfrac{x+1}{x-1}x−1x+1