erweitern (7cos(θ)-3sin(θ))^2

Lösung

erweitern

(7 cos (θ) - 3 sin (θ))^{2}

49 cos^{2} (θ) - 42 cos (θ) sin (θ) + 9 sin^{2} (θ)

Schritte zur Lösung

(7 cos (θ) - 3 sin (θ))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(7 cos (θ) - 3 sin (θ))^{2} = (7 cos (θ))^{2} - 2 \cdot 7 cos (θ) \cdot 3 sin (θ) + (3 sin (θ))^{2}

= (7 cos (θ))^{2} - 2 \cdot 7 cos (θ) \cdot 3 sin (θ) + (3 sin (θ))^{2}

Vereinfache

(7 cos (θ))^{2} - 2 \cdot 7 cos (θ) \cdot 3 sin (θ) + (3 sin (θ))^{2} : 49 cos^{2} (θ) - 42 cos (θ) sin (θ) + 9 sin^{2} (θ)

= 49 cos^{2} (θ) - 42 cos (θ) sin (θ) + 9 sin^{2} (θ)

e x p an d \frac{x ^{3} + x ^{2} - 3 x + 3}{( x + 4 ) ( x + 1 )}

e x p an d \frac{4}{3} x^{2}

e x p an d \frac{2 x + 32}{( x + 1 ) ( x + 7 )}

e x p an d \frac{4}{3} x^{5}

\frac{d}{d t} ((x) (4 - 6 t^{2}))