Question

Спростити вираз
(x/y2+x2/y3)/(y2/x2+y/x)

Answer 1

Ответ:

$\frac{\frac{x}{y^2}+\frac{x^2}{y^3}}{\frac{y^2}{x^2}+\frac{y}{x}}=\frac{x^3}{y^4}$

Объяснение:

$\frac{\frac{x}{y^2}+\frac{x^2}{y^3}}{\frac{y^2}{x^2}+\frac{y}{x}}=\frac{\frac{xy+x^2}{y^3}}{\frac{y^2+xy}{x^2}}=\frac{xy+x^2}{y^3}\cdot}\frac{x^2}{y^2+xy}=\frac{x(y+x)}{y^3}\cdot}\frac{x^2}{y(y+x)}=\frac{x^3}{y^4}$