erweitern sqrt(2)((1+pi^2)^{3/2}-1)

Lösung

erweitern

2 ((1 + π^{2})^{\frac{3}{2}} - 1)

2 (1 + π^{2})^{\frac{3}{2}} - 2

Dezimale

49.26566 \dots

Schritte zur Lösung

2 ((1 + π^{2})^{\frac{3}{2}} - 1)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = 2, b = (1 + π^{2})^{\frac{3}{2}}, c = 1

= 2 (1 + π^{2})^{\frac{3}{2}} - 2 \cdot 1

= 2 (1 + π^{2})^{\frac{3}{2}} - 1 \cdot 2

Multipliziere:

1 \cdot 2 = 2

= 2 (1 + π^{2})^{\frac{3}{2}} - 2

e x p an d \frac{( s ^{2} + 4 s - 2 )}{( s - 2 ) ( s ^{2} + 5 s - 5 )}

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

e x p an d \frac{( 2 - x ) \cdot n}{x}

e x p an d (cos (2 π x) + i sin (2 π x))^{3}

e x p an d (e + s + k - 2 c) (e + s + k - 2 c)