fernandoderell6 fernandoderell6
  • 02-12-2018
  • Mathematics
contestada

simpify[tex]\frac{x^{-1}+y^-1 }{x^{-1} .y-x.y^{-1} }[/tex]

Respuesta :

antich7522 antich7522
  • 02-12-2018

Answer:

\frac{1}{y-x} [tex]\frac{x^{-1}+y^{-2}  }{x^{-1} .y-x.y^{-1} }\\ = (\frac{1}{x} +\frac{1}{y} ):(\frac{y}{x} -\frac{x}{y})\\ = (\frac{x+y}{xy} ):(\frac{y^{2} - x^{2} }{xy}) \\= \frac{x+y}{y^{2} -x^{2} } \\=\frac{x+y}{(x+y).(y-x)} \\=\frac{1}{y-x}[/tex]

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