[tex]( \frac{3}{2(x - 1)} - \frac{1}{2(x + 1) } - \frac{4}{( {x - 1)(x + 1)} } ) \div \frac{x - 2}{(x - 1) {}^{2} } = [/tex]
[tex]se \: aduce \: la \: acelasi \: numitor(acesta \: fiind \: 2(x - 1)(x + 1)[/tex]
[tex] \frac{3(x + 1) - (x - 1) - 8}{2(x - 1)(x + 1)} \div \frac{x - 2}{(x - 1) {}^{2} } = [/tex]
[tex] \frac{3x + 3 - x + 1 - 8}{2(x - 1)(x + 1)} \div \frac{x - 2}{(x - 1) {}^{2} } = [/tex]
[tex] \frac{2x - 4}{2(x - 1)(x + 1)} \times \frac{(x - 1) {}^{2} }{x - 2} = [/tex]
[tex] \frac{2(x - 2)}{2(x - 1)(x + 1)} \times \frac{(x - 1) {}^{2} }{x - 2} = [/tex]
[tex] \frac{(x - 1)}{x + 1} [/tex]
