erweitern (1+x)^2cos(x)

Lösung

erweitern

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

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

Schritte zur Lösung

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

= cos (x) (1 + x)^{2}

Schreibe

(1 + x)^{2}

um:

1 + 2 x + x^{2}

= cos (x) (1 + 2 x + x^{2})

Wende das Distributivgesetz an:

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

cos (x) (1 + 2 x + x^{2}) = cos (x) \cdot 1 + cos (x) \cdot 2 x + cos (x) x^{2}

= cos (x) \cdot 1 + cos (x) \cdot 2 x + cos (x) x^{2}

Vereinfache

cos (x) \cdot 1 + cos (x) \cdot 2 x + cos (x) x^{2} : cos (x) + 2 x cos (x) + x^{2} cos (x)

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

s im pl i f y (i^{b + 6} - u p) (i^{b + 6} + u p)

e x p an d (cos (θ) + sin (θ))^{5}

e x p an d (cos (θ) + sin (θ))^{3}

\frac{d ^{3}}{d x ^{3}} ((y) (5 x^{3} + 3 x^{2} - 2 x + 9))

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