erweitern cos^4(x)(1-tan^4(x))+2sin^2(x)

Lösung

erweitern

cos^{4} (x) (1 - tan^{4} (x)) + 2 sin^{2} (x)

cos^{4} (x) - cos^{4} (x) tan^{4} (x) + 2 sin^{2} (x)

Schritte zur Lösung

cos^{4} (x) (1 - tan^{4} (x)) + 2 sin^{2} (x)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

cos^{4} (x) (1 - tan^{4} (x)) = cos^{4} (x) \cdot 1 - cos^{4} (x) tan^{4} (x)

= cos^{4} (x) \cdot 1 - cos^{4} (x) tan^{4} (x) + 2 sin^{2} (x)

Apply rule:

a \cdot 1 = a

cos^{4} (x) \cdot 1 = cos^{4} (x)

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

s im pl i f y 6 (1 + 6)

s im pl i f y (1 + \frac{26}{x}) x^{2} - 36

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

s im pl i f y (2 - x^{2} - 5) (2 + x^{2} - 5)

e x p an d (u - 2) (4 u + 1 + 3)