When simplified (x -1 + y -1) -1 is equal to A. xy B. x + yC. \(\fr

1.	When simplified (x -1 + y -1) -1 is equal to A. xy B. x + yC. \(\frac{xy}{x+y}\)D. \(\frac{x+y}{xy}\)
Answer» (x ^-1 + y ^-1) ^-1 = ^{\((\frac{1}{x}+\frac{1}{y})^{-1}\)} = ^{\((\frac{x+y}{xy})^{-1}\)} ^{= \((\frac{xy}{x+y})\)}

When simplified (x -1 + y -1) -1 is equal to A. xy B. x + yC. \(\frac{xy}{x+y}\)D. \(\frac{x+y}{xy}\)

Answer»

(x ^-1 + y ^-1) ^-1

= ^{\((\frac{1}{x}+\frac{1}{y})^{-1}\)}

= ^{\((\frac{x+y}{xy})^{-1}\)}

^{= \((\frac{xy}{x+y})\)}