erweitern (sin(x)+(cos(x))^2)^2

Lösung

erweitern

(sin (x) + (cos (x))^{2})^{2}

sin^{2} (x) + 2 cos^{2} (x) sin (x) + cos^{4} (x)

Schritte zur Lösung

(sin (x) + cos^{2} (x))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(sin (x) + cos^{2} (x))^{2} = sin^{2} (x) + 2 sin (x) cos^{2} (x) + (cos^{2} (x))^{2}

= sin^{2} (x) + 2 sin (x) cos^{2} (x) + (cos^{2} (x))^{2}

Vereinfache

sin^{2} (x) + 2 sin (x) cos^{2} (x) + (cos^{2} (x))^{2} : sin^{2} (x) + 2 cos^{2} (x) sin (x) + cos^{4} (x)

= sin^{2} (x) + 2 cos^{2} (x) sin (x) + cos^{4} (x)

e x p an d (20 (- 1 + \frac{k}{n})^{3} + 20 (- 1 + \frac{k}{n})^{2}) \cdot \frac{1}{n}

e x p an d - \frac{1}{4} (x - 34)^{2} (x - 41) + 45

e x p an d \frac{1}{( s + 3 ) ( s ^{2} - 5 s + 10 )}

e x p an d \frac{d y}{y} (- 3, - 5) (0, 10)^{''}

e x p an d \frac{1}{5} (3 ln \frac{x ^{2}}{4} + 1 + 2 arctan (\frac{x}{2}))