erweitern (x^2-6x-8)cos(x-2)

Lösung

erweitern

(x^{2} - 6 x - 8) cos (x - 2)

x^{2} cos (x - 2) - 6 x cos (x - 2) - 8 cos (x - 2)

Schritte zur Lösung

(x^{2} - 6 x - 8) cos (x - 2)

= cos (x - 2) (x^{2} - 6 x - 8)

Wende das Distributivgesetz an:

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

cos (x - 2) (x^{2} - 6 x - 8) = cos (x - 2) x^{2} + cos (x - 2) (- 6 x) + cos (x - 2) (- 8)

= cos (x - 2) x^{2} + cos (x - 2) (- 6 x) + cos (x - 2) (- 8)

Vereinfache

cos (x - 2) x^{2} + cos (x - 2) (- 6 x) + cos (x - 2) (- 8) : x^{2} cos (x - 2) - 6 x cos (x - 2) - 8 cos (x - 2)

= x^{2} cos (x - 2) - 6 x cos (x - 2) - 8 cos (x - 2)

e x p an d \frac{25}{( 3 + 2 x ) ^{2} ( 1 - x )}

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

e x p an d (\frac{2}{3} x + 2 y = 0,) (\frac{3}{4} x - 5 y = 8)

e x p an d \frac{2 x ^{2} + 2 x + 10}{( x + 1 ) ( x ^{2} + 9 )}

e x p an d (10 - 3) \times ((- 2, 5, 1) \times (311))