Divide: frac2x−1divfrac4x2−1\\frac{2}{x-1} \\div \\frac{4}{x^2-1}frac2x−1divfrac4x2−1 (assume xneqpm1x \\neq \\pm 1xneqpm1).
fracx+12\\frac{x+1}{2}fracx+12
fracx−12\\frac{x-1}{2}fracx−12
frac2x+1\\frac{2}{x+1}frac2x+1
frac2(x+1)x−1\\frac{2(x+1)}{x-1}frac2(x+1)x−1