erweitern-((1-cos(t))(-1+cos(t)))

Lösung

erweitern

- ((1 - cos (t)) (- 1 + cos (t)))

1 - 2 cos (t) + cos^{2} (t)

Schritte zur Lösung

- ((1 - cos (t)) (- 1 + cos (t)))

Apply rule:

- (a) = - a

- ((1 - cos (t)) (- 1 + cos (t))) = - (1 - cos (t)) (- 1 + cos (t))

= - (1 - cos (t)) (- 1 + cos (t))

Apply FOIL method

(1 - cos (t)) (- 1 + cos (t)) : - 1 + 2 cos (t) - cos^{2} (t)

= - (- 1 + 2 cos (t) - cos^{2} (t))

Wende das Distributivgesetz an:

- (- a + b) = a - b

- (- 1 + 2 cos (t) - cos^{2} (t)) = 1 - 2 cos (t) + cos^{2} (t)

= 1 - 2 cos (t) + cos^{2} (t)

s im pl i f y (x^{2} + 1) (3 x + 4)

e x p an d (s + 1) (s + 1 + j^{2} π) (s + 1 - j^{2} π)

e x p an d \frac{x ( x + 3 )}{x - 4}

e x p an d x (2 x - \frac{1}{3})^{5}

e x p an d \frac{5 x ^{3} - 6 x ^{2} + 7 x - 8}{x ( x + 4 ) ( x - 4 ) ^{2}}