erweitern 4(sec^2(x^2+3x+2)(2x+3))

Lösung

erweitern

4 (sec^{2} (x^{2} + 3 x + 2) (2 x + 3))

8 x sec^{2} (x^{2} + 3 x + 2) + 12 sec^{2} (x^{2} + 3 x + 2)

Schritte zur Lösung

4 (sec^{2} (x^{2} + 3 x + 2) (2 x + 3))

Entferne die Klammern:

(a) = a

= 4 sec^{2} (x^{2} + 3 x + 2) (2 x + 3)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = 4 sec^{2} (x^{2} + 3 x + 2), b = 2 x, c = 3

= 4 sec^{2} (x^{2} + 3 x + 2) \cdot 2 x + 4 sec^{2} (x^{2} + 3 x + 2) \cdot 3

= 4 \cdot 2 x sec^{2} (x^{2} + 3 x + 2) + 4 \cdot 3 sec^{2} (x^{2} + 3 x + 2)

Vereinfache

4 \cdot 2 x sec^{2} (x^{2} + 3 x + 2) + 4 \cdot 3 sec^{2} (x^{2} + 3 x + 2) : 8 x sec^{2} (x^{2} + 3 x + 2) + 12 sec^{2} (x^{2} + 3 x + 2)

= 8 x sec^{2} (x^{2} + 3 x + 2) + 12 sec^{2} (x^{2} + 3 x + 2)

e x p an d e^{(4 t)} (t^{2} + 3 t + 5)

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

e x p an d (- 3 x^{3} - 8 x^{6}) (10 e^{x} + 2)

e x p an d (- 10 + ln (\frac{m}{p})) 0.66

e x p an d \frac{5 ( - 11 + 8 y )}{4}