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]

Step-by-step explanation:


Answer Link

Otras preguntas

(10y^3+20y^2+55y)/5y
How is it possible for Mercury to have frozen ice ?
find an equivalent expression without parentheses -(50x-15y+15)=
Find Domain of the functionsquare root of (x-8)/x(x-9)
Which equation has the same y-intercept as y=4x-3?a. y-3=x              b. y=8x+3    c. 3-y=4x      d. y=-3+8xWhich of the following is the equation of the line
what is the answer for (20,8),(9,16) ?
Data are drawn from a symmetric and bell shaped distribution with a mean of 120 and a standard deviation of 5. There are 900 observations in the data set. What
Scarcity is the condition of not having enough goods and services to satisfy everyone's?
Marika and Freddy sold 70 homes for Ron Realty. If Marika sold 2.5 times as many homes as Freddy, how many homes did each sell?
How is it possible for Mercury to have frozen ice ?