展开 1/((1+2x)^3)

解答

展开

\frac{1}{( 1 + 2 x ) ^{3}}

\frac{1}{1 + 6 x + 12 x ^{2} + 8 x ^{3}}

求解步骤

\frac{1}{( 1 + 2 x ) ^{3}}

(1 + 2 x)^{3} = 1 + 6 x + 12 x^{2} + 8 x^{3}

= \frac{1}{1 + 6 x + 12 x ^{2} + 8 x ^{3}}

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

e x p an d (x^{3} e^{3 x} + 2) (x)

s im pl i f y (e^{9 i t} - 3 e^{3 i t} + 3 e^{- 3 i t} - e^{- 9 i t}) (e^{4 i t} + e^{- 4 i t})

e x p an d (4 x^{2} + 1) 4 x^{2} + 1

e x p an d \frac{( 6 z ^{2} - 2 z - 1 )}{( ( z - 1 ) ^{3} \cdot ( z + 1 ) )}