zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

因式分解 x^3-1/8

解答

因式分解

x^{3} - \frac{1}{8}

解答

(x - \frac{1}{2}) (x^{2} + \frac{x}{2} + \frac{1}{4})

求解步骤

x^{3} - \frac{1}{8}

使用根式运算法则:

a = (a)^{2}

\frac{1}{8} = (3 \frac{1}{8})^{3}

= x^{3} - (3 \frac{1}{8})^{3}

使用立方差公式:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

x^{3} - (3 \frac{1}{8})^{3} = (x - \frac{1}{2}) (x^{2} + \frac{1}{2} x + (\frac{1}{2})^{2})

= (x - \frac{1}{2}) (x^{2} + \frac{1}{2} x + (\frac{1}{2})^{2})

化简

(x - \frac{1}{2}) (x^{2} + \frac{1}{2} x + (\frac{1}{2})^{2}) : (x - \frac{1}{2}) (x^{2} + \frac{x}{2} + \frac{1}{4})

= (x - \frac{1}{2}) (x^{2} + \frac{x}{2} + \frac{1}{4})

流行的例子

2 x^{2} + 12 x + 16 = 0

化简 sqrt(15/16)

s im pl i f y \frac{15}{16}

化简 (x^3-y^3)/(x+y)*(x^2-y^2)/(x^2+xy+y^2)

s im pl i f y \frac{x ^{3} - y ^{3}}{x + y} \cdot \frac{x ^{2} - y ^{2}}{x ^{2} + x y + y ^{2}}

因式分解 9n^2-16

f a c t or 9 n^{2} - 16

17 + 27 = - 7 w