erweitern (asin(b)+lsin(θ))^2

Lösung

erweitern

(a sin (b) + l sin (θ))^{2}

a^{2} sin^{2} (b) + 2 a l sin (b) sin (θ) + l^{2} sin^{2} (θ)

Schritte zur Lösung

(a sin (b) + l sin (θ))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(a sin (b) + l sin (θ))^{2} = (a sin (b))^{2} + 2 a sin (b) l sin (θ) + (l sin (θ))^{2}

= (a sin (b))^{2} + 2 a sin (b) l sin (θ) + (l sin (θ))^{2}

Vereinfache

(a sin (b))^{2} + 2 a sin (b) l sin (θ) + (l sin (θ))^{2} : a^{2} sin^{2} (b) + 2 a l sin (b) sin (θ) + l^{2} sin^{2} (θ)

= a^{2} sin^{2} (b) + 2 a l sin (b) sin (θ) + l^{2} sin^{2} (θ)

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

e x p an d 20 (\frac{6}{5} - \frac{6}{5} e^{- 20 t})

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

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

e x p an d (7 - 5 \frac{x}{96889010407})^{20}