erweitern a(2+cos(2θ))^2

Lösung

erweitern

a (2 + cos (2 θ))^{2}

4 a + 4 a cos (2 θ) + a cos^{2} (2 θ)

Schritte zur Lösung

a (2 + cos (2 θ))^{2}

Schreibe

(2 + cos (2 θ))^{2}

um:

4 + 4 cos (2 θ) + cos^{2} (2 θ)

= a (4 + 4 cos (2 θ) + cos^{2} (2 θ))

Wende das Distributivgesetz an:

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

a (4 + 4 cos (2 θ) + cos^{2} (2 θ)) = a \cdot 4 + a \cdot 4 cos (2 θ) + a cos^{2} (2 θ)

= a \cdot 4 + a \cdot 4 cos (2 θ) + a cos^{2} (2 θ)

= 4 a + 4 a cos (2 θ) + a cos^{2} (2 θ)

e x p an d (x + 2) (x - 1) (x - (4 + i)) (x - (4 - i))

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

e x p an d (a, b) (b, - a)

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

e x p an d (x + y^{'} (x)) (x + y)