Risolvi (frac{xsqrt{y}}{sqrt{x}-sqrt{y}}+8sqrt{y})divsqrt{xy}-frac{sqrt{x}}{sqrt{x}sqrt{y}}

$$( \frac { x \sqrt { y } } { \sqrt { x } - \sqrt { y } } + 8 \sqrt { y } ) \div \sqrt { x y } - \frac { \sqrt { x } } { \sqrt { x } \sqrt { y } }$$

Calcola

$$\frac{\sqrt{y}x+9\sqrt{xy}-x-8y}{\left(\sqrt{x}-\sqrt{y}\right)\sqrt{xy}}$$

Differenzia rispetto a x

$$\frac{xy\sqrt{xy}-2\left(xy\right)^{\frac{3}{2}}-x\sqrt{xy^{2}}-2x^{\frac{3}{2}}\sqrt{xy^{2}}+2x^{\frac{3}{2}}\sqrt{xy}+16y\sqrt{yx^{2}}-8y^{\frac{3}{2}}\sqrt{xy}+2yx^{2}-2\sqrt{y}x^{2}-7yx^{\frac{3}{2}}}{2\left(\sqrt{x}-\sqrt{y}\right)^{2}x^{\frac{3}{2}}\sqrt{xy^{2}}}$$