erweitern (5x^2+x-x^3)(sin(x)-cos(x))

Lösung

erweitern

(5 x^{2} + x - x^{3}) (sin (x) - cos (x))

5 x^{2} sin (x) - 5 x^{2} cos (x) + x sin (x) - x cos (x) - x^{3} sin (x) + x^{3} cos (x)

Schritte zur Lösung

(5 x^{2} + x - x^{3}) (sin (x) - cos (x))

Setze Klammern

= 5 x^{2} sin (x) + 5 x^{2} (- cos (x)) + x sin (x) + x (- cos (x)) - x^{3} sin (x) - x^{3} (- cos (x))

Vereinfache

5 x^{2} sin (x) + 5 x^{2} (- cos (x)) + x sin (x) + x (- cos (x)) - x^{3} sin (x) - x^{3} (- cos (x)) : 5 x^{2} sin (x) - 5 x^{2} cos (x) + x sin (x) - x cos (x) - x^{3} sin (x) + x^{3} cos (x)

= 5 x^{2} sin (x) - 5 x^{2} cos (x) + x sin (x) - x cos (x) - x^{3} sin (x) + x^{3} cos (x)

e x p an d \frac{f ( x ) ( t ^{2} - 4 t + 2 )}{t ^{2} - 5}

e x p an d 4 sin (100 t - 10) u (t - 0.1)

e x p an d \frac{24 ( 5 x ^{4} - 10 x ^{2} + 1 )}{( x ^{2} + 1 ) ^{5}}

e x p an d x (5 x^{\frac{1}{3}} + 2 x^{\frac{1}{4}})

e x p an d 9 x - (x - 2 = x + 23)