化简 (2/x+5/y)/(5x+2y)

解答

化简

\frac{\frac{2}{x} + \frac{5}{y}}{5 x + 2 y}

\frac{1}{x y}

求解步骤

\frac{\frac{2}{x} + \frac{5}{y}}{5 x + 2 y}

合并

\frac{2}{x} + \frac{5}{y} : \frac{2 y + 5 x}{x y}

= \frac{\frac{2 y + 5 x}{x y}}{5 x + 2 y}

使用分式法则:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{2 y + 5 x}{x y ( 5 x + 2 y )}

消掉

\frac{2 y + 5 x}{x y ( 5 x + 2 y )} : \frac{1}{x y}

= \frac{1}{x y}

f a c t or m^{2} - 22 m + 121

f a c t or x^{2} + 9 x - 36

0 \leq - 3

3 t^{2} + 5 t + 27 = 0

- 1 < x + 2 \leq 6