erweitern sin(2x)(cos(5x)cos(3x)-sin(3x)sin(x))

Lösung

erweitern

sin (2 x) (cos (5 x) cos (3 x) - sin (3 x) sin (x))

cos (5 x) cos (3 x) sin (2 x) - sin (2 x) sin (3 x) sin (x)

Schritte zur Lösung

sin (2 x) (cos (5 x) cos (3 x) - sin (3 x) sin (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

sin (2 x) (cos (5 x) cos (3 x) - sin (3 x) sin (x)) = sin (2 x) cos (5 x) cos (3 x) - sin (2 x) sin (3 x) sin (x)

= sin (2 x) cos (5 x) cos (3 x) - sin (2 x) sin (3 x) sin (x)

= cos (5 x) cos (3 x) sin (2 x) - sin (2 x) sin (3 x) sin (x)

e x p an d x (1 + 3 x^{3})

e x p an d \frac{s ^{3} + 2 s ^{2} - 7 s + 5}{s ( 6 s ^{4} - 5 s ^{2} + 2 ) ( s + 2 )}

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

e x p an d (8 + 5) m

e x p an d (x + \frac{1}{2 x ^{2}})^{8}