erweitern (2rcos(θ)-rsin(θ))r

Lösung

erweitern

(2 r cos (θ) - r sin (θ)) r

2 r^{2} cos (θ) - r^{2} sin (θ)

Schritte zur Lösung

(2 r cos (θ) - r sin (θ)) r

= r (2 r cos (θ) - r sin (θ))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

r (2 r cos (θ) - r sin (θ)) = r \cdot 2 r cos (θ) - rr sin (θ)

= r \cdot 2 r cos (θ) - rr sin (θ)

Vereinfache

r \cdot 2 r cos (θ) - rr sin (θ) : 2 r^{2} cos (θ) - r^{2} sin (θ)

= 2 r^{2} cos (θ) - r^{2} sin (θ)

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

e x p an d \frac{( e ^{\frac{y}{t}} )}{( e ^{\frac{y}{t}} ) ^{2}}

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

e x p an d \frac{a ^{2} + 9 x + 20}{( a + 4 ) ( a + 5 )}

e x p an d (x - 13 + 3 i) (x - 13 - 3 i)