erweitern sin(x)(sin(x)-6)+4

Lösung

erweitern

sin (x) (sin (x) - 6) + 4

sin^{2} (x) - 6 sin (x) + 4

Schritte zur Lösung

sin (x) (sin (x) - 6) + 4

Wende das Distributivgesetz an:

a (b - c) = ab - a c

sin (x) (sin (x) - 6) = sin (x) sin (x) - sin (x) \cdot 6

= sin (x) sin (x) - sin (x) \cdot 6 + 4

Vereinfache

sin (x) sin (x) - sin (x) \cdot 6 : sin^{2} (x) - 6 sin (x)

= sin^{2} (x) - 6 sin (x) + 4

e x p an d 3 + 3 \cdot x \cdot (y^{'} (x))^{2} + (x - 4) \cdot y \cdot y^{'} (x)

e x p an d x^{e - 5 x - 2} (9 e - 45 x) (e - 5 x - 1)

e x p an d (x^{2})^{4}

s im pl i f y (- 2 - 3 i)^{4}

e x p an d \frac{2 x ^{3} + 3 x + 23}{( 2 x + 1 ) ( x ^{2} + 4 )}