erweitern 16777216pi(1/2 ln(2+sqrt(5))+sqrt(5))

Lösung

erweitern

16777216 π (\frac{1}{2} ln (2 + 5) + 5)

8388608 π ln (2 + 5) + 167772165 π

Dezimale

155901810.46627 \dots

Schritte zur Lösung

16777216 π (\frac{1}{2} ln (2 + 5) + 5)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = 16777216 π, b = \frac{1}{2} ln (2 + 5), c = 5

= 16777216 π \frac{1}{2} ln (2 + 5) + 16777216 π 5

= 16777216 π \frac{1}{2} ln (2 + 5) + 167772165 π

16777216 π \frac{1}{2} ln (2 + 5) = 8388608 π ln (2 + 5)

= 8388608 π ln (2 + 5) + 167772165 π

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

e x p an d (x - 3)^{2} x

e x p an d (5 x^{3} (4 e^{\frac{x}{y}} y^{3} - e^{\frac{x}{y}} x y^{2})) \cdot y

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

e x p an d \frac{0.5 ( 3 s + 1 )}{3 s ^{2} + s + 2 k}