展开 ((1+x^n))/((1+x)^n)

解答

展开

\frac{( 1 + x ^{n} )}{( 1 + x ) ^{n}}

\frac{1}{( 1 + x ) ^{n}} + \frac{x ^{n}}{( 1 + x ) ^{n}}

求解步骤

\frac{1 + x ^{n}}{( 1 + x ) ^{n}}

使用分式法则:

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

\frac{1 + x ^{n}}{( 1 + x ) ^{n}} = \frac{1}{( 1 + x ) ^{n}} + \frac{x ^{n}}{( 1 + x ) ^{n}}

= \frac{1}{( x + 1 ) ^{n}} + \frac{x ^{n}}{( x + 1 ) ^{n}}

e x p an d \frac{1}{( x - 3 ) ( x - 2 ) ( x - 1 )}

e x p an d \frac{1 + 2 x}{3 ( x - 3 )}

e x p an d f oco (0, - 2)

\frac{\partial}{\partial x} ((z) (y x^{2} - x y))

e x p an d (x + ln (x))^{4}