What is expand 1/((1-x)(1-x^2)(1-x^3)) ?

The solution to expand 1/((1-x)(1-x^2)(1-x^3)) is 1/(x^5+x^4-x^6-x^2-x+1)

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expand 1/((1-x)(1-x^2)(1-x^3))

expand

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

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

Solution steps

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

Expand

(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}

\frac{( - 1 ) ^{k + 1} k ( k + 1 )}{2}

e^{x} (e^{y} + e^{- x})

ln (x) (x + 1) (x + 2)

\frac{3}{( 2 + j w ) ( 5 + j w )}

(e - π)^{2}

What is expand 1/((1-x)(1-x^2)(1-x^3)) ?
The solution to expand 1/((1-x)(1-x^2)(1-x^3)) is 1/(x^5+x^4-x^6-x^2-x+1)