erweitern (xcos(x)+sinh(x))cos(x)

Lösung

erweitern

(x cos (x) + sinh (x)) cos (x)

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

Schritte zur Lösung

(x cos (x) + sinh (x)) cos (x)

= cos (x) (x cos (x) + sinh (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

cos (x) (x cos (x) + sinh (x)) = cos (x) x cos (x) + cos (x) sinh (x)

= cos (x) x cos (x) + cos (x) sinh (x)

Vereinfache

cos (x) x cos (x) : x cos^{2} (x)

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

e x p an d \frac{x ^{2} - 25}{( x ^{2} - 9 ) ( x + 4 )}

e x p an d \frac{1}{5 ( 15 + 10 k )}

e x p an d 2 x^{3} d x + (3 y x^{2} + y^{3}) d y

e x p an d \frac{( 85 + r ) ( 95 - r )}{( 10 - 2 r ) ^{2}}

s im pl i f y (3 - x) \cdot (3 + x)