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 >

展开 ((1-1/(x^3+2)))/((x+1/(x-1)))

解答

展开

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

解答

\frac{x ^{2} - 1}{x ^{3} + 3 2 \cdot 2 ^{\frac{2}{3}}}

求解步骤

\frac{1 - \frac{1}{x ^{3} + 2}}{x + \frac{1}{x - 1}}

化简

x + \frac{1}{x - 1} : \frac{x ^{2} - x + 1}{x - 1}

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

化简

1 - \frac{1}{x ^{3} + 2} : \frac{x ^{3} + 1}{x ^{3} + 2}

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

分式相除:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

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

分解

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

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

分解

(x^{3} + 2) (x^{2} - x + 1) : (x + 32) (x^{2} - x + 1) (x^{2} - 32 x + 2^{\frac{2}{3}})

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

约分:

x^{2} - x + 1

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

乘开

(x + 32) (x^{2} - 32 x + 2^{\frac{2}{3}}) : x^{3} + 32 \cdot 2^{\frac{2}{3}}

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

乘开

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

= \frac{x ^{2} - 1}{x ^{3} + 3 2 \cdot 2 ^{\frac{2}{3}}}

流行的例子

化简 (x-1+isqrt(2))^2*(x+1+isqrt(2))^2

s im pl i f y (x - 1 + i 2)^{2} \cdot (x + 1 + i 2)^{2}

展开 (x-sqrt(5))(x+sqrt(5))

e x p an d (x - 5) (x + 5)

展开 x^2(1+sqrt(1-x^2))

e x p an d x^{2} (1 + 1 - x^{2})

展开 ((3x^4))/((8x^5-3)^4)

e x p an d \frac{( 3 x ^{4} )}{( 8 x ^{5} - 3 ) ^{4}}

展开 2x(1+2ln(x))

e x p an d 2 x (1 + 2 ln (x))