化简 (5x^4-3x^3)/(x^5)

解答

化简

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}}

\frac{5 x - 3}{x ^{2}}

求解步骤

\frac{5 x ^{4} - 3 x ^{3}}{x ^{5}}

因式分解

5 x^{4} - 3 x^{3} : x^{3} (5 x - 3)

= \frac{x ^{3} ( 5 x - 3 )}{x ^{5}}

使用指数法则:

a^{b + c} = a^{b} \cdot a^{c}

x^{5} = x^{3} x^{2}

= \frac{x ^{3} ( 5 x - 3 )}{x ^{3} x ^{2}}

约分:

x^{3}

= \frac{5 x - 3}{x ^{2}}

\int_{0}^{1} \frac{4 - x}{1 + x ^{2}} d x

\int \frac{sec ^{2} ( 8 x )}{tan ( 8 x ) + 5} d x

\frac{\partial}{\partial x} (1 (x - y) e^{1 y + 5 x^{2}})

\frac{\partial}{\partial x} (x cos (\frac{x}{y}))

x \to 0 lim (x^{3} - 2 x^{3} - 4 x + 7)