erweitern 2tan(x+y)sec^2(x+y)(1+z)

Lösung

erweitern

2 tan (x + y) sec^{2} (x + y) (1 + z)

2 sec^{2} (x + y) tan (x + y) + 2 z sec^{2} (x + y) tan (x + y)

Schritte zur Lösung

2 tan (x + y) sec^{2} (x + y) (1 + z)

= 2 sec^{2} (x + y) tan (x + y) (1 + z)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

2 sec^{2} (x + y) tan (x + y) (1 + z) = 2 sec^{2} (x + y) tan (x + y) \cdot 1 + 2 sec^{2} (x + y) tan (x + y) z

= 2 sec^{2} (x + y) tan (x + y) \cdot 1 + 2 sec^{2} (x + y) tan (x + y) z

Vereinfache

2 sec^{2} (x + y) tan (x + y) \cdot 1 + 2 sec^{2} (x + y) tan (x + y) z : 2 sec^{2} (x + y) tan (x + y) + 2 z sec^{2} (x + y) tan (x + y)

= 2 sec^{2} (x + y) tan (x + y) + 2 z sec^{2} (x + y) tan (x + y)

e x p an d \frac{26}{( s + 1 ) ^{3}}

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

e x p an d x \cdot 10 x

e x p an d x (1 - x)

s im pl i f y (8 x - 3) (3 x - 3)