Question

Помогите срочно решить тождество

Answer 1

Ответ:

$\dfrac{7}{g}$

Объяснение:

$\dfrac{8y-g}{yg}-\dfrac{1}{y+g} \cdot \bigg (\dfrac{y}{g}-\dfrac{g}{y} \bigg )=\dfrac{8y-g}{yg}-\dfrac{1}{y+g} \cdot \dfrac{y^{2}-g^{2}}{yg}=\dfrac{8y-g}{yg}-\dfrac{(y-g)(y+g)}{(y+g)yg}=$

$=\dfrac{8y-g}{yg}-\dfrac{y-g}{yg}=\dfrac{8y-g-(y-g)}{yg}=\dfrac{8y-g-y+g}{yg}=\dfrac{7y}{yg}=\dfrac{7}{g};$