erweitern (5+cos(x))cos(y)cos(x)

Lösung

erweitern

(5 + cos (x)) cos (y) cos (x)

5 cos (y) cos (x) + cos^{2} (x) cos (y)

Schritte zur Lösung

(5 + cos (x)) cos (y) cos (x)

= cos (y) cos (x) (5 + cos (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

cos (y) cos (x) (5 + cos (x)) = cos (y) cos (x) \cdot 5 + cos (y) cos (x) cos (x)

= cos (y) cos (x) \cdot 5 + cos (y) cos (x) cos (x)

Vereinfache

cos (y) cos (x) \cdot 5 + cos (y) cos (x) cos (x) : 5 cos (y) cos (x) + cos^{2} (x) cos (y)

= 5 cos (y) cos (x) + cos^{2} (x) cos (y)

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

s im pl i f y (x^{2} + y^{2}) (x^{2} + y^{2})

\frac{d ^{3}}{d x ^{3}} ((y) (x^{3} + 3 x^{2} + 6 x))

e x p an d (x \cdot y = 5, x + y = 7) x + y

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