erweitern (4/5 x-3/5 y)^2

Lösung

erweitern

(\frac{4}{5} x - \frac{3}{5} y)^{2}

\frac{16 x ^{2} - 24 x y + 9 y ^{2}}{25}

Schritte zur Lösung

(\frac{4}{5} x - \frac{3}{5} y)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(\frac{4}{5} x - \frac{3}{5} y)^{2} = (\frac{4}{5} x)^{2} - 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2}

= (\frac{4}{5} x)^{2} - 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2}

Vereinfache

(\frac{4}{5} x)^{2} - 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2} : \frac{16 x ^{2} - 24 x y + 9 y ^{2}}{25}

= \frac{16 x ^{2} - 24 x y + 9 y ^{2}}{25}

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

e x p an d 7 \cdot (2 - x - y)^{2}

e x p an d \frac{8 - x}{4}

e x p an d (x^{2} + y^{2} - 4 z^{2} - 8 = 0) (x^{2} + y^{2} - 6 z^{2})

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