erweitern (1+4sin(t))(4cos(t))

Lösung

erweitern

(1 + 4 sin (t)) (4 cos (t))

4 cos (t) + 16 cos (t) sin (t)

Schritte zur Lösung

(1 + 4 sin (t)) (4 cos (t))

= (4 cos (t)) (1 + 4 sin (t))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

(4 cos (t)) (1 + 4 sin (t)) = 4 cos (t) \cdot 1 + 4 cos (t) \cdot 4 sin (t)

= 4 cos (t) \cdot 1 + 4 cos (t) \cdot 4 sin (t)

Vereinfache

4 cos (t) \cdot 1 + 4 cos (t) \cdot 4 sin (t) : 4 cos (t) + 16 cos (t) sin (t)

= 4 cos (t) + 16 cos (t) sin (t)

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

e x p an d (f \circ g) (2 x^{2} + x)

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

e x p an d d x [x (5 x^{4} - 7 x^{2} - 3)]

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