Question

Buenas, ayuda con estos ejercicios???

Answer 1

Ejercicio 3

$\bold{ \frac{ \frac{x}{y} - \frac{y}{x} }{ \frac{1}{ {x}^{2} } - \frac{1}{ {y}^{2} } } }$

$\bold{ \frac{ \frac{x \cdot x - y \cdot y}{y \cdot x} }{ \frac{ {y}^{2} - {x}^{2} }{ {x}^{2} \cdot {y}^{2} }} }$

$\bold{ \frac{ \frac{ {x}^{2} - {y}^{2} }{y \cdot x} }{ \frac{ {y}^{2} - {x}^{2} }{ {x}^{2} \cdot {y}^{2} }} }$

$\bold{ \frac{( {x}^{2} - {y}^{2})( {x}^{2} \cdot {y}^{2} )}{(y \cdot x)({y}^{2} - {x}^{2})}}$

$\bold{ \frac{ - ( {y}^{2} - {x}^{2} )(x\cdot y )^{2} }{(y \cdot x)({y}^{2} - {x}^{2})}}$

$\bold{ \frac{ -(x\cdot y )^{2} }{(y \cdot x)}}$

$\bold{ -(x\cdot y )}$

$\bold{- xy}$

Ejercicio 4

$\bold{x - \frac{y}{ \frac{x}{y} + \frac{y}{x} } }$

$\bold{x - \frac{y}{ \frac{x \cdot x + y \cdot y}{y \cdot x} } }$

$\bold{x - \frac{y}{ \frac{ {x}^{2} + {y}^{2} }{yx} } }$

$\bold{x - \frac{y(xy)}{ {x}^{2} + {y}^{2} }}$

$\bold{ \frac{x( {x}^{2} + {y}^{2}) }{( {x}^{2} + {y}^{2} ) } - \frac{y(xy)}{ {x}^{2} + {y}^{2} }}$

$\bold{ \frac{x( {x}^{2} + {y}^{2}) - y(xy)}{ {x}^{2} + {y}^{2} }}$

$\bold{ \frac{{x}^{3} + x{y}^{2} - y {x}^{2} }{ {x}^{2} + {y}^{2} }}$

$\bold{ \frac{{x}^{3}}{ {x}^{2} + {y}^{2} }}$