erweitern (-3acos^2(t)+sin(t))^2

Lösung

erweitern

(- 3 a cos^{2} (t) + sin (t))^{2}

9 a^{2} cos^{4} (t) - 6 a cos^{2} (t) sin (t) + sin^{2} (t)

Schritte zur Lösung

(- 3 a cos^{2} (t) + sin (t))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(- 3 a cos^{2} (t) + sin (t))^{2} = (- 3 a cos^{2} (t))^{2} + 2 (- 3 a cos^{2} (t)) sin (t) + sin^{2} (t)

= (- 3 a cos^{2} (t))^{2} + 2 (- 3 a cos^{2} (t)) sin (t) + sin^{2} (t)

Vereinfache

(- 3 a cos^{2} (t))^{2} + 2 (- 3 a cos^{2} (t)) sin (t) + sin^{2} (t) : 9 a^{2} cos^{4} (t) - 6 a cos^{2} (t) sin (t) + sin^{2} (t)

= 9 a^{2} cos^{4} (t) - 6 a cos^{2} (t) sin (t) + sin^{2} (t)

e x p an d (a + 4 b) (a - 2 b)

e x p an d (y cos (x) + 2 x e^{y}) + (5 m x + x^{2} e^{y} - 1) y^{'} (x)

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

e x p an d (cos (2 x) - sin (2 x))^{2} - 1

e x p an d f (x) (x = a + 1) - 4