erweitern (x+deltax)^2

Lösung

erweitern

(x + d e lt a x)^{2}

x^{2} + 2 d e l a x^{2} t + d e^{2} l^{2} a^{2} x^{2} t^{2}

Schritte zur Lösung

(x + d e lt a x)^{2}

= (x + d e l a x t)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

a = x, b = d e lt a x

= x^{2} + 2 x d e lt a x + (d e lt a x)^{2}

Vereinfache

x^{2} + 2 x d e lt a x + (d e lt a x)^{2} : x^{2} + 2 d e l a x^{2} t + d e^{2} l^{2} a^{2} x^{2} t^{2}

= x^{2} + 2 d e l a x^{2} t + d e^{2} l^{2} a^{2} x^{2} t^{2}

e x p an d - 3 l e f t (x + 1)^{2} + 12

e x p an d (x + d e lt a x)^{3}

e x p an d \frac{10 x ^{3} + 20 x + 2}{( x ^{2} + 2 ) ( x ^{2} + 1 )}

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

e x p an d \frac{x ^{4} + x ^{2} + 1}{( x ^{2} + 3 x + 2 ) ^{2} ( x + 4 ) ^{2}}