因式分解 (x^3-6x^2+5x)^3

解答

因式分解

(x^{3} - 6 x^{2} + 5 x)^{3}

x^{3} (x - 1)^{3} (x - 5)^{3}

求解步骤

(x^{3} - 6 x^{2} + 5 x)^{3}

因式分解

x^{3} - 6 x^{2} + 5 x : x (x - 1) (x - 5)

= (x (x - 1) (x - 5))^{3}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(x (x - 1) (x - 5))^{3} = x^{3} (x - 1)^{3} (x - 5)^{3}

= x^{3} (x - 1)^{3} (x - 5)^{3}

2 x + 5 = 9

2 (- 6 y + 7) - 9 y = 14

lo g_{10} (10000) = x

4 x - 1 = 4 x + 2

s im pl i f y \frac{1}{5} + \frac{2}{5}