erweitern r^3*cos(y)sin(y)(4-r^2)

Lösung

erweitern

r^{3} \cdot cos (y) sin (y) (4 - r^{2})

4 r^{3} cos (y) sin (y) - r^{5} cos (y) sin (y)

Schritte zur Lösung

r^{3} cos (y) sin (y) (4 - r^{2})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

r^{3} cos (y) sin (y) (4 - r^{2}) = r^{3} cos (y) sin (y) \cdot 4 - r^{3} cos (y) sin (y) r^{2}

= r^{3} cos (y) sin (y) \cdot 4 - r^{3} cos (y) sin (y) r^{2}

Vereinfache

r^{3} cos (y) sin (y) \cdot 4 - r^{3} cos (y) sin (y) r^{2} : 4 r^{3} cos (y) sin (y) - r^{5} cos (y) sin (y)

= 4 r^{3} cos (y) sin (y) - r^{5} cos (y) sin (y)

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

e x p an d (2 x - 1) (x - 2) (x - 3) (x - 4 - i) (x - 4 + i)

s im pl i f y 4 x (5 x - 1)

e x p an d \frac{- 3 h ^{2} - 8 h}{8 ( h + 4 ) ^{2}}

e x p an d (e^{x} - 6) (e^{x} + 2)