erweitern (4ab^2-11d^2e)^2

Lösung

erweitern

(4 a b^{2} - 11 d^{2} e)^{2}

16 a^{2} b^{4} - 88 e a b^{2} d^{2} + 121 e^{2} d^{4}

Schritte zur Lösung

(4 a b^{2} - 11 d^{2} e)^{2}

= (4 a b^{2} - 11 e d^{2})^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

a = 4 a b^{2}, b = 11 d^{2} e

= (4 a b^{2})^{2} - 2 \cdot 4 a b^{2} \cdot 11 d^{2} e + (11 d^{2} e)^{2}

Vereinfache

(4 a b^{2})^{2} - 2 \cdot 4 a b^{2} \cdot 11 d^{2} e + (11 d^{2} e)^{2} : 16 a^{2} b^{4} - 88 e a b^{2} d^{2} + 121 e^{2} d^{4}

= 16 a^{2} b^{4} - 88 e a b^{2} d^{2} + 121 e^{2} d^{4}

e x p an d 2 (\frac{1}{y} + 3 y = 5)

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

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

e x p an d B (e^{x} + e^{x} x)

e x p an d p (6, - 3) q (- 2, - 3)