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 >

化简 (a^2-6a+9)/(a^2-1)*(-2a+2)/(2a-6)

解答

化简

\frac{a ^{2} - 6 a + 9}{a ^{2} - 1} \cdot \frac{- 2 a + 2}{2 a - 6}

解答

\frac{- a + 3}{a + 1}

求解步骤

\frac{a ^{2} - 6 a + 9}{a ^{2} - 1} \cdot \frac{- 2 a + 2}{2 a - 6}

消掉

\frac{- 2 a + 2}{2 a - 6} : \frac{- a + 1}{a - 3}

= \frac{a ^{2} - 6 a + 9}{a ^{2} - 1} \cdot \frac{- a + 1}{a - 3}

使用分式法则:

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

= \frac{( a ^{2} - 6 a + 9 ) ( - a + 1 )}{( a ^{2} - 1 ) ( a - 3 )}

因式分解

a^{2} - 6 a + 9 : (a - 3)^{2}

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

使用指数法则:

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

(a - 3)^{2} = (a - 3) (a - 3)

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

约分:

a - 3

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

因式分解

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

= \frac{( a - 3 ) ( - a + 1 )}{( a + 1 ) ( a - 1 )}

(a - 3) (- a + 1) = - (a - 3) (a - 1)

= \frac{- ( a - 3 ) ( a - 1 )}{( a + 1 ) ( a - 1 )}

约分:

a - 1

= \frac{- ( a - 3 )}{a + 1}

使用分配律:

- (a - b) = - a + b

- (a - 3) = - a + 3

= \frac{- a + 3}{a + 1}

流行的例子

因式分解 2x^3+3x^2-5x-6

f a c t or 2 x^{3} + 3 x^{2} - 5 x - 6

s im pl i f y \frac{100}{120}

化简 ((x+y)/6)/((x^2-y^2)/3)

s im pl i f y \frac{\frac{x + y}{6}}{\frac{x ^{2} - y ^{2}}{3}}

\frac{5}{2} \div \frac{5}{7}

化简 3× 10^{-4}

s im pl i f y 3 \times 1 0^{- 4}