erweitern cos(x)(x+3cos(x))

Lösung

erweitern

cos (x) (x + 3 cos (x))

x cos (x) + 3 cos^{2} (x)

Schritte zur Lösung

cos (x) (x + 3 cos (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

cos (x) (x + 3 cos (x)) = cos (x) x + cos (x) \cdot 3 cos (x)

= cos (x) x + cos (x) \cdot 3 cos (x)

Vereinfache

cos (x) x + cos (x) \cdot 3 cos (x) : x cos (x) + 3 cos^{2} (x)

= x cos (x) + 3 cos^{2} (x)

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

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

e x p an d (1 - sin^{2} (x))^{3}

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

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