erweitern (4e-7f)^3

Lösung

erweitern

(4 e - 7 f)^{3}

- 343 f^{3} + 588 e f^{2} - 336 e^{2} f + 64 e^{3}

Schritte zur Lösung

(4 e - 7 f)^{3}

Wende Formel für perfekte dritte Potenzen an:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

a = 4 e, b = 7 f

= (4 e)^{3} - 3 (4 e)^{2} \cdot 7 f + 3 \cdot 4 e (7 f)^{2} - (7 f)^{3}

Vereinfache

(4 e)^{3} - 3 (4 e)^{2} \cdot 7 f + 3 \cdot 4 e (7 f)^{2} - (7 f)^{3} : 64 e^{3} - 336 e^{2} f + 588 e f^{2} - 343 f^{3}

= 64 e^{3} - 336 e^{2} f + 588 e f^{2} - 343 f^{3}

Rewrite in standard form

= - 343 f^{3} + 588 e f^{2} - 336 e^{2} f + 64 e^{3}

e x p an d 2 (y - k) y^{'}

e x p an d \frac{3}{2 x ( 4 x - 6 )}

e x p an d \frac{( x ^{3} - a ) ^{9}}{x ^{18}}

e x p an d (4 x - 2) e^{2}

e x p an d 3 x^{2} (4 x e^{3} - 2 x^{2} + 7 x - 4)