erweitern (xdv(4+v^2))/((4-v^2)(1+x^2))

Lösung

erweitern

\frac{x d v ( 4 + v ^{2} )}{( 4 - v ^{2} ) ( 1 + x ^{2} )}

\frac{4 x d v + x v ^{2} d v}{4 + 4 x ^{2} - v ^{2} - x ^{2} v ^{2}}

Schritte zur Lösung

\frac{x d v ( 4 + v ^{2} )}{( 4 - v ^{2} ) ( 1 + x ^{2} )}

Multipliziere aus

(4 - v^{2}) (1 + x^{2}) : 4 + 4 x^{2} - v^{2} - x^{2} v^{2}

= \frac{x d v ( v ^{2} + 4 )}{4 + 4 x ^{2} - v ^{2} - x ^{2} v ^{2}}

Multipliziere aus

x d v (4 + v^{2}) : 4 x d v + x v^{2} d v

= \frac{4 x d v + x v ^{2} d v}{4 + 4 x ^{2} - v ^{2} - x ^{2} v ^{2}}

e x p an d (y = 3, x + 2) - (y = 5 x + 6)

e x p an d (7 x + 6 y) d x

e x p an d y (\frac{6 - y}{3})

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

e x p an d 4 (3^{3}) - 24 (3^{2})