erweitern ((t^2)/8-(t^3)/(12))^2

Lösung

erweitern

(\frac{t ^{2}}{8} - \frac{t ^{3}}{12})^{2}

\frac{9 t ^{4} - 12 t ^{5} + 4 t ^{6}}{576}

Schritte zur Lösung

(\frac{t ^{2}}{8} - \frac{t ^{3}}{12})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(\frac{t ^{2}}{8} - \frac{t ^{3}}{12})^{2} = (\frac{t ^{2}}{8})^{2} - 2 \cdot \frac{t ^{2}}{8} \cdot \frac{t ^{3}}{12} + (\frac{t ^{3}}{12})^{2}

= (\frac{t ^{2}}{8})^{2} - 2 \cdot \frac{t ^{2}}{8} \cdot \frac{t ^{3}}{12} + (\frac{t ^{3}}{12})^{2}

Vereinfache

(\frac{t ^{2}}{8})^{2} - 2 \cdot \frac{t ^{2}}{8} \cdot \frac{t ^{3}}{12} + (\frac{t ^{3}}{12})^{2} : \frac{9 t ^{4} - 12 t ^{5} + 4 t ^{6}}{576}

= \frac{9 t ^{4} - 12 t ^{5} + 4 t ^{6}}{576}

e x p an d - (1 + 7 x) - 6 (- 7 - x = 36)

e x p an d lo g_{10} (2) (\frac{2 x + 1}{x - 5})

e x p an d 2 (x^{2} - 7 x + 7)^{2}

e x p an d \frac{2 x - 3}{5}

e x p an d - 1.5 (5 x + 2 y = - 9)