展开 (x+2)/((x+3)^{5/4)}

解答

展开

\frac{x + 2}{( x + 3 ) ^{\frac{5}{4}}}

\frac{x}{( x + 3 ) ^{\frac{5}{4}}} + \frac{2}{( x + 3 ) ^{\frac{5}{4}}}

求解步骤

\frac{x + 2}{( x + 3 ) ^{\frac{5}{4}}}

使用分式法则:

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

\frac{x + 2}{( x + 3 ) ^{\frac{5}{4}}} = \frac{x}{( x + 3 ) ^{\frac{5}{4}}} + \frac{2}{( x + 3 ) ^{\frac{5}{4}}}

= \frac{x}{( x + 3 ) ^{\frac{5}{4}}} + \frac{2}{( x + 3 ) ^{\frac{5}{4}}}

e x p an d e^{a (s - 1)} + e^{b (s - 1)}

e x p an d \frac{4}{s ( x ^{2} - 4 x + 5 ) ( x ^{2} - 1 )}

e x p an d (x y^{2} + b x^{2} y) d x + (x + y) x^{2} d y

e x p an d \frac{10}{s ( s + 5 ) ( s + 2 )}

e x p an d \frac{x ( - x + 8 ) ^{4}}{2}