化简 (9-x^2)/(x-3)

解答

化简

\frac{9 - x ^{2}}{x - 3}

- 3 - x

求解步骤

\frac{9 - x ^{2}}{x - 3}

因式分解

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

= \frac{( 3 + x ) ( 3 - x )}{x - 3}

(3 + x) (3 - x) = - (3 + x) (x - 3)

= \frac{- ( 3 + x ) ( x - 3 )}{x - 3}

约分:

x - 3

= - (3 + x)

使用分配律:

- (a + b) = - a - b

- (3 + x) = - 3 - x

= - 3 - x

s im pl i f y \frac{8}{5 - 6}

f a c t or 2 x^{2} + 10

s im pl i f y (- 4) \cdot (- 5)

f a c t or x y + 2 x + 5 y + 10

s im pl i f y 4 v^{\frac{2}{3}} \cdot v^{- 1}