化简 3/(x-1)-2/(x+1)

解答

化简

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

\frac{x + 5}{( x - 1 ) ( x + 1 )}

求解步骤

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

x - 1, x + 1

的最小公倍数:

(x - 1) (x + 1)

根据最小公倍数调整分式

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

使用分式法则:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

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

化简

3 (x + 1) - 2 (x - 1) : x + 5

= \frac{x + 5}{( x - 1 ) ( x + 1 )}

s im pl i f y \frac{5 x + 7}{x - 2} - \frac{1}{x ^{2} - 9 x + 14}

s im pl i f y 1 e^{1}

s im pl i f y \frac{9}{x ^{2} - 12 x + 36} + \frac{x}{x ^{2} - 36}

f a c t or 125 a^{3} + 1

s im pl i f y \frac{d - 2}{d ^{2} - 4} + \frac{4}{d ^{2} + 4 d + 4}