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

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

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

expand

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

\frac{2 x ^{5} - x ^{6} - x ^{4} + 1}{1 - x ^{2} - x ^{3}}

Solution steps

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

Expand

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

= \frac{2 x ^{5} - x ^{6} - x ^{4} + 1}{1 - x ^{2} - x ^{3}}

\frac{8}{( x ^{2} + 4 ) ( x ^{2} + 6 x + 25 )}

\frac{1}{4} ((s + 2)^{2} (s - 2)^{3} (s^{2} + 4))

10 - 10 e^{- 3 x} (cos (3 x) + sin (3 x))

(- 4) \cdot 8 a + 16

\frac{4 ( s ^{3} + 2 s ^{2} + s + 1 )}{s ^{2} ( s ^{3} + 2 s ^{2} - s - 1 )}

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