erweitern (x+2)(x-2)(x+δx+2)(x+δx-2)

Lösung

erweitern

(x + 2) (x - 2) (x + δ x + 2) (x + δ x - 2)

δ^{2} x^{4} + 2 δ x^{4} + x^{4} - 4 δ^{2} x^{2} - 8 δ x^{2} - 8 x^{2} + 16

Schritte zur Lösung

(x + 2) (x - 2) (x + δ x + 2) (x + δ x - 2)

Multipliziere aus

(x + 2) (x - 2) : x^{2} - 4

= (x^{2} - 4) (x + δ x + 2) (x + δ x - 2)

Multipliziere aus

(x^{2} - 4) (x + δ x + 2) : x^{3} + δ x^{3} + 2 x^{2} - 4 x - 4 δ x - 8

= (x^{3} + δ x^{3} + 2 x^{2} - 4 x - 4 δ x - 8) (x + δ x - 2)

Multipliziere aus

(x^{3} + δ x^{3} + 2 x^{2} - 4 x - 4 δ x - 8) (x + δ x - 2) : δ^{2} x^{4} + 2 δ x^{4} + x^{4} - 4 δ^{2} x^{2} - 8 δ x^{2} - 8 x^{2} + 16

= δ^{2} x^{4} + 2 δ x^{4} + x^{4} - 4 δ^{2} x^{2} - 8 δ x^{2} - 8 x^{2} + 16

e x p an d (1 - x^{3} + x^{6})^{6}

s im pl i f y \frac{7.5754}{s ( s + 3.8 ) + 7.5754}

e x p an d \frac{8 x + 55}{( x + 9 ) ( x - 8 )}

e x p an d x (3 + Δ y, 4) - x (3, 4)

e x p an d R (1, - 1) y E (3, 4)