erweitern (5x^2-4x-4x^3)cos(x)

Lösung

erweitern

(5 x^{2} - 4 x - 4 x^{3}) cos (x)

5 x^{2} cos (x) - 4 x cos (x) - 4 x^{3} cos (x)

Schritte zur Lösung

(5 x^{2} - 4 x - 4 x^{3}) cos (x)

= cos (x) (5 x^{2} - 4 x - 4 x^{3})

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

cos (x) (5 x^{2} - 4 x - 4 x^{3}) = cos (x) \cdot 5 x^{2} + cos (x) (- 4 x) + cos (x) (- 4 x^{3})

= cos (x) \cdot 5 x^{2} + cos (x) (- 4 x) + cos (x) (- 4 x^{3})

Vereinfache

cos (x) \cdot 5 x^{2} + cos (x) (- 4 x) + cos (x) (- 4 x^{3}) : 5 x^{2} cos (x) - 4 x cos (x) - 4 x^{3} cos (x)

= 5 x^{2} cos (x) - 4 x cos (x) - 4 x^{3} cos (x)

e x p an d \frac{( n - 2 ) 180}{n}

e x p an d 12 (2 + \frac{2 i}{n})^{2} - 9

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

e x p an d x \cdot (csc (x) + cot (x)) - cos (x)