erweitern (5e^2-7f^3)(5e^2+7f^3)

Lösung

erweitern

(5 e^{2} - 7 f^{3}) (5 e^{2} + 7 f^{3})

- 49 f^{6} + 25 e^{4}

Schritte zur Lösung

(5 e^{2} - 7 f^{3}) (5 e^{2} + 7 f^{3})

Wende Formel zur Differenz von zwei Quadraten an:

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

a = 5 e^{2}, b = 7 f^{3}

= (5 e^{2})^{2} - (7 f^{3})^{2}

Vereinfache

(5 e^{2})^{2} - (7 f^{3})^{2} : - 49 f^{6} + 25 e^{4}

= - 49 f^{6} + 25 e^{4}

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

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

e x p an d 2 x^{2} + (25 - 1) x - 5

e x p an d \frac{( n + 1 ) ( 2 n + 1 ) ( 2 n + 3 )}{3}

e x p an d \frac{x ^{n + 1} - ( n + 1 ) x + n}{x - 1}