Multiply: x2+x−2x2−4⋅x+2x+2\dfrac{x^2 + x - 2}{x^2 - 4} \cdot \dfrac{x + 2}{x + 2}x2−4x2+x−2⋅x+2x+2 (assume x≠±2,−1x \neq \pm 2, -1x=±2,−1). Wait — simplify x2+x−2x2−4\dfrac{x^2 + x - 2}{x^2 - 4}x2−4x2+x−2.
x−1x−2\dfrac{x - 1}{x - 2}x−2x−1
x+1x−2\dfrac{x + 1}{x - 2}x−2x+1
x−1x+2\dfrac{x - 1}{x + 2}x+2x−1
x+2x−2\dfrac{x + 2}{x - 2}x−2x+2