因式分解-x^3+5x^2-8x+4

解答

因式分解

- x^{3} + 5 x^{2} - 8 x + 4

- (x - 1) (x - 2)^{2}

求解步骤

- x^{3} + 5 x^{2} - 8 x + 4

因式分解

- 1 : - (x^{3} - 5 x^{2} + 8 x - 4)

= - (x^{3} - 5 x^{2} + 8 x - 4)

因式分解

x^{3} - 5 x^{2} + 8 x - 4 : (x - 1) (x - 2) (x - 2)

= - (x - 1) (x - 2) (x - 2)

使用指数法则:

aa = a^{2}

(x - 2) (x - 2) = (x - 2)^{2}

= - (x - 1) (x - 2)^{2}

f a c t or 256 x^{4} - 81

- 6 < - \frac{2}{5} (1 - x) \leq 4

2 (4) - 3 (x - 1) = - 1

(x - 2)^{2} (x + 1)^{3} (x + 5) \leq 0

s im pl i f y (- \frac{3}{4} b^{2}) (- 6 a^{2} b^{5})