Divide: frac3xx+1divfrac9x2x2−1\\frac{3x}{x+1} \\div \\frac{9x^2}{x^2-1}frac3xx+1divfrac9x2x2−1 (assume xneq0,pm1x \\neq 0, \\pm 1xneq0,pm1).
fracx−13x\\frac{x-1}{3x}fracx−13x
frac3x(x−1)9x2\\frac{3x(x-1)}{9x^2}frac3x(x−1)9x2
fracx−13\\frac{x-1}{3}fracx−13
frac3xx−1\\frac{3x}{x-1}frac3xx−1