Question

$(frac{4y}{2-y} - y) : frac{y+2}{y-2}$

Упростите выражение, пожалуйста.

Answer 1

(4y/(2-y) -y):(y+2)/(y-2)=((4y-2y+yˇ2)/(2-y)). ((y-2)/(y+2))=
=(2y+yˇ2)/(2-y)  .  (y-2)/(y+2)=y(y+2)/(2-y)  .  (y-2)/(y+2)=
=y/(2-y) . (y-2)= -y

Answer 2

(4у/(2-у) - у(2-у)/2-у)*(у-2)/у+2) = ((4у-2у+у²)/(2-у))*((у-2)(у+2)) = ((2у+у²)/(2-у)) * ((у-2)(у+2)) = ((у(2+у)/(2-у)) * ((у-2)(у+2)) = у/(2-у) * (у-2) = 
-у/(у-2) * (у-2) = -у