erweitern (xsin(θ)-ysin(θ))^2

Lösung

erweitern

(x sin (θ) - y sin (θ))^{2}

x^{2} sin^{2} (θ) - 2 x y sin^{2} (θ) + y^{2} sin^{2} (θ)

Schritte zur Lösung

(x sin (θ) - y sin (θ))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(x sin (θ) - y sin (θ))^{2} = (x sin (θ))^{2} - 2 x sin (θ) y sin (θ) + (y sin (θ))^{2}

= (x sin (θ))^{2} - 2 x sin (θ) y sin (θ) + (y sin (θ))^{2}

Vereinfache

(x sin (θ))^{2} - 2 x sin (θ) y sin (θ) + (y sin (θ))^{2} : x^{2} sin^{2} (θ) - 2 x y sin^{2} (θ) + y^{2} sin^{2} (θ)

= x^{2} sin^{2} (θ) - 2 x y sin^{2} (θ) + y^{2} sin^{2} (θ)

e x p an d (6 t^{2} - 2 t + 13 - 3 t) \cdot (- 3, - 1)

s im pl i f y x (x + 2 x + 1)

e x p an d 2 (sin (x) + cos (x) = sec (x))

e x p an d 20 cos (x) (sin (x) + 1)

e x p an d p (- 2, 12) y q (5, - 9)