erweitern ((5x)/6-(4y)/3)^2

Lösung

erweitern

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

\frac{25 x ^{2} - 80 x y + 64 y ^{2}}{36}

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

(\frac{5 x}{6})^{2} - 2 \cdot \frac{5 x}{6} \cdot \frac{4 y}{3} + (\frac{4 y}{3})^{2} : \frac{25 x ^{2} - 80 x y + 64 y ^{2}}{36}

= \frac{25 x ^{2} - 80 x y + 64 y ^{2}}{36}

e x p an d (m + 5, n - 6) y (11, 3)

e x p an d \frac{( ( x + h ) ^{n} - x ^{n} )}{h}

e x p an d t (e^{- 3 t} - t^{2} + 1)

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

e x p an d (1 + 3 cos (x))^{2}