erweitern (6400-1600pi)/(8(8+2pi)^2)

Lösung

erweitern

\frac{6400 - 1600 π}{8 ( 8 + 2 π ) ^{2}}

\frac{6400 - 1600 π}{512 + 256 π + 32 π ^{2}}

Dezimale

0.84153 \dots

Schritte zur Lösung

\frac{6400 - 1600 π}{8 ( 8 + 2 π ) ^{2}}

(8 + 2 π)^{2} = 64 + 32 π + 4 π^{2}

= \frac{6400 - 1600 π}{8 ( 4 π ^{2} + 32 π + 64 )}

Multipliziere aus

8 (64 + 32 π + 4 π^{2}) : 512 + 256 π + 32 π^{2}

= \frac{6400 - 1600 π}{512 + 256 π + 32 π ^{2}}

e x p an d (x, y, z) - \frac{( - 5 x - 5 y + 5 z )}{5 3} (- 5 - 5 + 5)

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

e x p an d - e^{x} (cos (x) - sin (x))

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

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