erweitern (3x+1)^2sqrt(3x+1)

Lösung

erweitern

(3 x + 1)^{2} 3 x + 1

9 x^{2} 3 x + 1 + 6 x 3 x + 1 + 3 x + 1

Schritte zur Lösung

(3 x + 1)^{2} 3 x + 1

Schreibe

(3 x + 1)^{2}

um:

9 x^{2} + 6 x + 1

= (9 x^{2} + 6 x + 1) 3 x + 1

= 3 x + 1 (9 x^{2} + 6 x + 1)

Wende das Distributivgesetz an:

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

3 x + 1 (9 x^{2} + 6 x + 1) = 3 x + 1 \cdot 9 x^{2} + 3 x + 1 \cdot 6 x + 3 x + 1 \cdot 1

= 3 x + 1 \cdot 9 x^{2} + 3 x + 1 \cdot 6 x + 3 x + 1 \cdot 1

Vereinfache

3 x + 1 \cdot 9 x^{2} + 3 x + 1 \cdot 6 x + 3 x + 1 \cdot 1 : 9 x^{2} 3 x + 1 + 6 x 3 x + 1 + 3 x + 1

= 9 x^{2} 3 x + 1 + 6 x 3 x + 1 + 3 x + 1

e x p an d x^{\frac{4}{5}} (x - 8)^{2}

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

e x p an d x (y^{2} - 1) - y (x^{2} - 1) y^{'} (x)

\frac{d}{d t} ((Q (t)) k (Q (t) - 70))

s im pl i f y (3 x + 2 i)^{2}