展开 (a+5)-b/(b-4)+(2(b+3))/a

解答

展开

(a + 5) - \frac{b}{b - 4} + \frac{2 ( b + 3 )}{a}

a + 5 - \frac{b}{b - 4} + \frac{2 b}{a} + \frac{6}{a}

求解步骤

(a + 5) - \frac{b}{b - 4} + \frac{2 ( b + 3 )}{a}

去除括号:

(a) = a

= a + 5 - \frac{b}{b - 4} + \frac{2 ( b + 3 )}{a}

乘开

2 (b + 3) : 2 b + 6

= a + 5 - \frac{b}{b - 4} + \frac{2 b + 6}{a}

使用分式法则:

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

\frac{2 b + 6}{a} = \frac{2 b}{a} + \frac{6}{a}

= a + 5 - \frac{b}{b - 4} + \frac{2 b}{a} + \frac{6}{a}

s im pl i f y (\frac{a}{6} + \frac{b ^{3}}{5}) (\frac{a}{6} - \frac{b ^{3}}{5})

e x p an d \frac{2 a}{5 ( a - b )}

e x p an d - \frac{x ( 3 x - 4 )}{2}

e x p an d lo g_{2} (x) (3 y) (z)

e x p an d e^{x} \cdot (e^{x} + 9)^{5}