erweitern (10-(10pi)/(x+4))^2

Lösung

erweitern

(10 - \frac{10 π}{x + 4})^{2}

100 - \frac{200 π}{x + 4} + \frac{100 π ^{2}}{x ^{2} + 8 x + 16}

Schritte zur Lösung

(10 - \frac{10 π}{x + 4})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

a = 10, b = \frac{10 π}{x + 4}

= 1 0^{2} - 2 \cdot 10 \cdot \frac{10 π}{x + 4} + (\frac{10 π}{x + 4})^{2}

Vereinfache

1 0^{2} - 2 \cdot 10 \cdot \frac{10 π}{x + 4} + (\frac{10 π}{x + 4})^{2} : 100 - \frac{200 π}{x + 4} + \frac{100 π ^{2}}{x ^{2} + 8 x + 16}

= 100 - \frac{200 π}{x + 4} + \frac{100 π ^{2}}{x ^{2} + 8 x + 16}

s im pl i f y (m + 7) (m - 7)

e x p an d - \frac{1}{6} (x - \frac{π}{2})^{3}

\frac{d ^{2}}{d x ^{2}} ((y) (3 x^{6} + 7 x^{4} - 2 x^{2} + 5))

e x p an d - 0.6 (10.3229 - 5)^{2} + 17

e x p an d \frac{2 ( 32 - 771 )}{23}