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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Multipliziere aus

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

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

s im pl i f y (cos (\frac{θ}{2}) - sin (\frac{θ}{2}) e^{i φ})^{2}

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

e x p an d 5010 c + 10 - (\frac{100 ( 2 c - 8 )}{c ^{2} - 8 c + 20})

e x p an d 2 sec (\frac{π}{4} (x + 1))

e x p an d \frac{x ^{2} ( 4 - x )}{4}