erweitern 9(1-cos(t))^2

Lösung

erweitern

9 (1 - cos (t))^{2}

9 - 18 cos (t) + 9 cos^{2} (t)

Schritte zur Lösung

9 (1 - cos (t))^{2}

Schreibe

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

um:

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

= 9 (1 - 2 cos (t) + cos^{2} (t))

Wende das Distributivgesetz an:

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

9 (1 - 2 cos (t) + cos^{2} (t)) = 9 \cdot 1 + 9 (- 2 cos (t)) + 9 cos^{2} (t)

= 9 \cdot 1 + 9 (- 2 cos (t)) + 9 cos^{2} (t)

Vereinfache

9 \cdot 1 + 9 (- 2 cos (t)) + 9 cos^{2} (t) : 9 - 18 cos (t) + 9 cos^{2} (t)

= 9 - 18 cos (t) + 9 cos^{2} (t)

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

e x p an d \frac{( x - 4 ) ^{2}}{x ^{2} - 9}

e x p an d (15 x^{4} - 3 x^{2} + 1) cos (x)

e x p an d π (- \frac{x ^{5}}{5} + \frac{26 x ^{3}}{3} - 25 x) + C

e x p an d \frac{10 ( a - b )}{a + b}