erweitern (24sin(x)+6sin(2x))^2

Lösung

erweitern

(24 sin (x) + 6 sin (2 x))^{2}

576 sin^{2} (x) + 288 sin (x) sin (2 x) + 36 sin^{2} (2 x)

Schritte zur Lösung

(24 sin (x) + 6 sin (2 x))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(24 sin (x) + 6 sin (2 x))^{2} = (24 sin (x))^{2} + 2 \cdot 24 sin (x) \cdot 6 sin (2 x) + (6 sin (2 x))^{2}

= (24 sin (x))^{2} + 2 \cdot 24 sin (x) \cdot 6 sin (2 x) + (6 sin (2 x))^{2}

Vereinfache

(24 sin (x))^{2} + 2 \cdot 24 sin (x) \cdot 6 sin (2 x) + (6 sin (2 x))^{2} : 576 sin^{2} (x) + 288 sin (x) sin (2 x) + 36 sin^{2} (2 x)

= 576 sin^{2} (x) + 288 sin (x) sin (2 x) + 36 sin^{2} (2 x)

\frac{d}{d q} ((c) (0.2 q^{2} + 2 q + 500))

e x p an d (y = 2 - x) (0.5)

e x p an d (- 4, - 5) y (6, - 1)

e x p an d \frac{- 7 x ^{8} + 9}{( x ^{8} + 9 ) ^{2}}

e x p an d a (e + 2 d)^{3} + b (e + 2 d)^{3} + c