vereinfachen sqrt(x)(sqrt(x)+1)^2

Lösung

vereinfachen

x (x + 1)^{2}

x x + 2 x + x

Schritte zur Lösung

x (x + 1)^{2}

Schreibe

(x + 1)^{2}

um:

x + 2 x + 1

= x (x + 2 x + 1)

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

x (x + 2 x + 1) = x x + x \cdot 2 x + x \cdot 1

= x x + x \cdot 2 x + x \cdot 1

x x = x x

x \cdot 2 x = 2 x

x \cdot 1 = x

= x x + 2 x + x

e x p an d - \frac{10000 s}{( s + 400 ) ( s + 1000 )}

e x p an d (4 + Δ x)^{2}

e x p an d 6^{\frac{1}{2}} (x^{2} + 1) x^{\frac{1}{2}} - 3 x^{3}

e x p an d 2 (x + h)^{2} + 3 (x + h) - 5 (x + h)

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