erweitern 2L(x)x+L(x)(x^2+2=L(x)(x)^3)

Lösung

erweitern

2 L (x) x + L (x) (x^{2} + 2 = L (x) (x)^{3})

2 L (x) x + x^{2} L (x) + 2 L (x) = x^{3} L (x)

Schritte zur Lösung

2 L (x) x + L (x) (x^{2} + 2 = L (x) (x)^{3})

= 2 xL (x) + L (x) (x^{2} + 2 = (x)^{3} L (x))

Multipliziere aus

L (x) (x^{2} + 2 = L (x) (x)^{3}) : x^{2} L (x) + 2 L (x) = x^{3} L (x)

2 L (x) x + x^{2} L (x) + 2 L (x) = x^{3} L (x)

e x p an d \frac{2 cos ( x ) ( - sin ( x ) + 1 )}{( sin ( x ) + 2 ) ^{3}}

e x p an d (3 d - 5 e) (9 d^{2} + 15 d e + 25 e^{2})

e x p an d sin ((2 n - 1) π)

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

e x p an d \frac{( 4 ( 3 x ^{3} - 1 ) )}{( 1 + x ^{2} ) ^{3}}