erweitern (tcos(t)+sin(t))^2

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

(t cos (t))^{2} + 2 t cos (t) sin (t) + sin^{2} (t) : t^{2} cos^{2} (t) + t sin (2 t) + sin^{2} (t)

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

s im pl i f y (3 x - 2 + 4) (3 x - 2 - 4)

e x p an d \frac{4 x - 8}{( x - 4 ) ( x + 1 )}

e x p an d \frac{x ^{2} - 6 x + 8}{( 2 x - 3 ) ^{2}}

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

\frac{d}{d y} ((x) (x^{2} + y^{2}))