Question

demuestre que la proposicion (x+y/2)^2 - (x-y/2)^2 = xy es verdadera

Answer 1

Explicación paso a paso:

$( {( \frac{x + y}{2}) }^{2}) - ( { \frac{x - y}{2}) }^{2} \\ \frac{ {x}^{2} + 2xy + {y}^{2} }{4} - ( \frac{ {x}^{2} - 2xy + {y}^{2} }{4} ) \\ \ \: \\ \frac{ {x}^{2} + 2xy + {y}^{2} - {x}^{2} + 2xy - {y}^{2} }{4} \\ \frac{4xy}{4} = xy \: \\ la \: proposicion \: es \: verdadera$