化简 (6x^2)/(x(x-5))*(x-5)/(8(x+3))

解答

化简

\frac{6 x ^{2}}{x ( x - 5 )} \cdot \frac{x - 5}{8 ( x + 3 )}

\frac{3 x}{4 ( x + 3 )}

求解步骤

\frac{6 x ^{2}}{x ( x - 5 )} \cdot \frac{x - 5}{8 ( x + 3 )}

消掉

\frac{6 x ^{2}}{x ( x - 5 )} : \frac{6 x}{x - 5}

= \frac{6 x}{x - 5} \cdot \frac{x - 5}{8 ( x + 3 )}

交叉约去公约数:

x - 5

= \frac{6 x}{8 ( x + 3 )}

消掉

\frac{6 x}{8 ( x + 3 )} : \frac{3 x}{4 ( x + 3 )}

= \frac{3 x}{4 ( x + 3 )}

s im pl i f y lo g_{2} (8192)

s im pl i f y \frac{8 x ^{3} - 27 y ^{3}}{2 x - 3 y}

f a c t or - x^{2} - 3 x

s im pl i f y 3 - \frac{27}{125}

s im pl i f y lo g_{2} ((2 + x)^{\frac{1}{2}}) + lo g_{3} ((2 + x)^{5})