展开 1/((1-x)(1-x^2)(1-x^3))

解答

展开

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

\frac{1}{x ^{5} + x ^{4} - x ^{6} - x ^{2} - x + 1}

求解步骤

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

乘开

(1 - x) (1 - x^{2}) (1 - x^{3}) : x^{5} + x^{4} - x^{6} - x^{2} - x + 1

= \frac{1}{x ^{5} + x ^{4} - x ^{6} - x ^{2} - x + 1}

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

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

e x p an d ln (x) (x + 1) (x + 2)

e x p an d \frac{3}{( 2 + j w ) ( 5 + j w )}

e x p an d (e - π)^{2}