erweitern (7-(x^2)/2)^2

Lösung

erweitern

(7 - \frac{x ^{2}}{2})^{2}

\frac{196 - 28 x ^{2} + x ^{4}}{4}

Schritte zur Lösung

(7 - \frac{x ^{2}}{2})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(7 - \frac{x ^{2}}{2})^{2} = 7^{2} - 2 \cdot 7 \cdot \frac{x ^{2}}{2} + (\frac{x ^{2}}{2})^{2}

= 7^{2} - 2 \cdot 7 \cdot \frac{x ^{2}}{2} + (\frac{x ^{2}}{2})^{2}

Vereinfache

7^{2} - 2 \cdot 7 \cdot \frac{x ^{2}}{2} + (\frac{x ^{2}}{2})^{2} : \frac{196 - 28 x ^{2} + x ^{4}}{4}

= \frac{196 - 28 x ^{2} + x ^{4}}{4}

e x p an d \frac{6}{( s ^{2} + 9 ) ^{2}}

s im pl i f y (\frac{1}{2 x} + 4) (\frac{1}{2 x} - 8)

e x p an d 2 π^{4} - 2 π^{4} cos (θ) + π^{4} sin (2 (1 - cos (θ)))

e x p an d \frac{d ^{2}}{d ^{2} x} (x^{2} + y^{2} = a^{2})

e x p an d (3, - \frac{π}{6}) 0 x