Question

упростить выражение (х-у/х-у-х/у):х+у/ху​

Answer 1

Ответ:

( (x-y) / (x) - (y-x) / (y) ) / ( (x+y) / (yx) ) =

= ( (x-y) / (x) - (y-x) / (y) ) * ( (yx) / (x+y) ) =

= ( ( y(x-y) - x(y-x) ) / (xy) ) * ( (yx) / (x+y) ) =

= ( y(x-y) + x(x-y) ) / ( x+y ) = ( (y+x)(x-y) ) / ( x+y ) = x-y