erweitern-((8x)/y-w/t)^2

Lösung

erweitern

- (\frac{8 x}{y} - \frac{w}{t})^{2}

- \frac{64 x ^{2} t ^{2} - 16 x w y t + w ^{2} y ^{2}}{y ^{2} t ^{2}}

Schritte zur Lösung

- (\frac{8 x}{y} - \frac{w}{t})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(\frac{8 x}{y} - \frac{w}{t})^{2} = (\frac{8 x}{y})^{2} - 2 \cdot \frac{8 x}{y} \cdot \frac{w}{t} + (\frac{w}{t})^{2}

= - ((\frac{8 x}{y})^{2} - 2 \cdot \frac{8 x}{y} \cdot \frac{w}{t} + (\frac{w}{t})^{2})

Vereinfache

(\frac{8 x}{y})^{2} - 2 \cdot \frac{8 x}{y} \cdot \frac{w}{t} + (\frac{w}{t})^{2} : \frac{64 x ^{2} t ^{2} - 16 x w y t + w ^{2} y ^{2}}{y ^{2} t ^{2}}

= - \frac{64 x ^{2} t ^{2} - 16 x w y t + w ^{2} y ^{2}}{y ^{2} t ^{2}}

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

e x p an d (12 x^{(3)} + 6 x^{(2)} - 2 x + 3) d x

s im pl i f y (2 a - (x - c)^{2} + y^{2})^{2}

e x p an d \frac{( 1 - sin ( x ) + t ^{2} ) t}{( 1 + t ^{2} ) ^{2}}

e x p an d (2 cos (x) - 1) (2 cos (x) + 1)