erweitern (4x^2+1)sqrt(4x^2+1)

Lösung

erweitern

(4 x^{2} + 1) 4 x^{2} + 1

4 x^{2} 4 x^{2} + 1 + 4 x^{2} + 1

Schritte zur Lösung

(4 x^{2} + 1) 4 x^{2} + 1

= 4 x^{2} + 1 (4 x^{2} + 1)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

4 x^{2} + 1 (4 x^{2} + 1) = 4 x^{2} + 1 \cdot 4 x^{2} + 4 x^{2} + 1 \cdot 1

= 4 x^{2} + 1 \cdot 4 x^{2} + 4 x^{2} + 1 \cdot 1

Vereinfache

4 x^{2} + 1 \cdot 4 x^{2} + 4 x^{2} + 1 \cdot 1 : 4 x^{2} 4 x^{2} + 1 + 4 x^{2} + 1

= 4 x^{2} 4 x^{2} + 1 + 4 x^{2} + 1

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

e x p an d e^{x} (x^{2} - 6 x + 7)

e x p an d \frac{s}{( s + b ) ^{2} + π}

e x p an d (x + \frac{1}{2 x})^{14}

e x p an d (x + 5 x y + 25 y) (x - 5 y)