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

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

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

expand

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

\frac{1}{1 + x ^{2} - x - x ^{3}}

Solution steps

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

Expand

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

= \frac{1}{1 + x ^{2} - x - x ^{3}}

(\frac{2 x}{3} + \frac{16}{3} = \frac{4 x}{2}) 6

\frac{12 e ^{- 2 x}}{( 1 + e ^{- 2 x} ) ^{2}}

\frac{2}{x ( x + 2 ) ^{2} ( s + 4 )}

in t er sec (c) (1, - 3)

\frac{4 x}{( 1 - x ) ^{4}}

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