erweitern (B+at^2)(pir^2+2picrt+pic^2t^2)

Lösung

erweitern

(B + a t^{2}) (π r^{2} + 2 π cr t + π c^{2} t^{2})

π B r^{2} + 2 π c Bt r + π c^{2} B t^{2} + πa t^{2} r^{2} + 2 πa c t^{3} r + πa c^{2} t^{4}

Schritte zur Lösung

(B + a t^{2}) (π r^{2} + 2 π cr t + π c^{2} t^{2})

= (B + a t^{2}) (π r^{2} + 2 π c t r + π c^{2} t^{2})

Setze Klammern

= B π r^{2} + B \cdot 2 π cr t + B π c^{2} t^{2} + a t^{2} π r^{2} + a t^{2} \cdot 2 π cr t + a t^{2} π c^{2} t^{2}

= π B r^{2} + 2 π c Bt r + π c^{2} B t^{2} + πa t^{2} r^{2} + 2 πa c t^{2} t r + πa c^{2} t^{2} t^{2}

Vereinfache

π B r^{2} + 2 π c Bt r + π c^{2} B t^{2} + πa t^{2} r^{2} + 2 πa c t^{2} t r + πa c^{2} t^{2} t^{2} : π B r^{2} + 2 π c Bt r + π c^{2} B t^{2} + πa t^{2} r^{2} + 2 πa c t^{3} r + πa c^{2} t^{4}

= π B r^{2} + 2 π c Bt r + π c^{2} B t^{2} + πa t^{2} r^{2} + 2 πa c t^{3} r + πa c^{2} t^{4}

e x p an d 9 (5 x + 8 y = - 24)

e x p an d (- 5, - 3) y (11, 13)

e x p an d \frac{u ^{3} ( 12 - 17 z ^{5} )}{4 z ^{3}}

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

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