erweitern (a-b-ccos(x))^2

Lösung

erweitern

(a - b - c cos (x))^{2}

a^{2} - 2 ab - 2 a c cos (x) + b^{2} + c^{2} cos^{2} (x) + 2 b c cos (x)

Schritte zur Lösung

(a - b - c cos (x))^{2}

Wende Exponentenregel an:

a^{b + c} = a^{b} \cdot a^{c}

(a - b - c cos (x))^{2} = (a - b - c cos (x)) (a - b - c cos (x))

= (a - b - c cos (x)) (a - b - c cos (x))

Setze Klammern

= aa + a (- b) + a (- c cos (x)) - ba - b (- b) - b (- c cos (x)) - c cos (x) a - c cos (x) (- b) - c cos (x) (- c cos (x))

Vereinfache

aa + a (- b) + a (- c cos (x)) - ba - b (- b) - b (- c cos (x)) - c cos (x) a - c cos (x) (- b) - c cos (x) (- c cos (x)) : a^{2} - 2 ab - 2 a c cos (x) + b^{2} + c^{2} cos^{2} (x) + 2 b c cos (x)

= a^{2} - 2 ab - 2 a c cos (x) + b^{2} + c^{2} cos^{2} (x) + 2 b c cos (x)

e x p an d (x^{3} e^{9 x} + 2) x

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

e x p an d - 3 sin (2) (x + 5)

e x p an d (e^{t} - t e^{t} + t^{2} - 2 t - 2) (e^{t} - t e^{t} + t^{2} - 2 t + 1)

e x p an d 0.45 (1 - e^{- (0.1) n})