Question

упростите выражение: y+c/c*(c/y-c/y+c)

Answer 1

$\dfrac{y+c}{c}\cdot \left(\dfrac{c}{y}-\dfrac{c}{y+c}\right)=\dfrac{y+c}{c}\cdot \left(\dfrac{c(y+c)}{y(y+c)}-\dfrac{cy}{y(y+c)}\right)=\dfrac{y+c}{c}\cdot \dfrac{cy+c^2-cy}{y(y+c)}\\ \\ \\ =\dfrac{y+c}{c}\cdot \dfrac{c^2}{y(y+c)}=\dfrac{c}{y}$