erweitern (t^2+1)e^t

Lösung

erweitern

(t^{2} + 1) e^{t}

e^{t} t^{2} + e^{t}

Schritte zur Lösung

(t^{2} + 1) e^{t}

= e^{t} (t^{2} + 1)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = e^{t}, b = t^{2}, c = 1

= e^{t} t^{2} + e^{t} \cdot 1

= e^{t} t^{2} + 1 \cdot e^{t}

Multipliziere:

1 \cdot e^{t} = e^{t}

= e^{t} t^{2} + e^{t}

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

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

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

e x p an d (1 - tan (x)) (1 + cot (x))

s im pl i f y (- 2 + 4 i)^{5}