erweitern 2(1+cos(θ))^2

Lösung

erweitern

2 (1 + cos (θ))^{2}

2 + 4 cos (θ) + 2 cos^{2} (θ)

Schritte zur Lösung

2 (1 + cos (θ))^{2}

Schreibe

(1 + cos (θ))^{2}

um:

1 + 2 cos (θ) + cos^{2} (θ)

= 2 (1 + 2 cos (θ) + cos^{2} (θ))

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

2 (1 + 2 cos (θ) + cos^{2} (θ)) = 2 \cdot 1 + 2 \cdot 2 cos (θ) + 2 cos^{2} (θ)

= 2 \cdot 1 + 2 \cdot 2 cos (θ) + 2 cos^{2} (θ)

Vereinfache

2 \cdot 1 + 2 \cdot 2 cos (θ) + 2 cos^{2} (θ) : 2 + 4 cos (θ) + 2 cos^{2} (θ)

= 2 + 4 cos (θ) + 2 cos^{2} (θ)

e x p an d - \frac{1}{( x + 1 ) ^{2} ( x + 6 )}

e x p an d e^{3 (t - 6)} U (t - 6)

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

e x p an d (8)^{2}

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