erweitern 2(x+Δx)^2-3

Lösung

erweitern

2 (x + Δ x)^{2} - 3

2 x^{2} + 4Δ x^{2} + 2 Δ^{2} x^{2} - 3

Schritte zur Lösung

2 (x + Δ x)^{2} - 3

(x + Δ x)^{2} = x^{2} + 2Δ x^{2} + Δ^{2} x^{2}

= 2 (x^{2} + 2Δ x^{2} + Δ^{2} x^{2}) - 3

Multipliziere aus

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

= 2 x^{2} + 4Δ x^{2} + 2 Δ^{2} x^{2} - 3

e x p an d x (3 x - 2)

e x p an d (5 + x) x^{4} e^{11 x} + 3

e x p an d \frac{10 + 2 x + 4 x ^{2} + s ^{3}}{s ^{3} ( s + 3 )}

e x p an d 4 (x - 2) e^{x} + (x - 1) e^{2 x}

e x p an d \frac{1}{( s - θ + i v ) ( s - θ - i v )}