erweitern sqrt(1+x^2(9x^2+6))

Lösung

erweitern

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

3 x^{2} + 1

Schritte zur Lösung

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

Multipliziere aus

1 + x^{2} (9 x^{2} + 6) : 1 + 9 x^{4} + 6 x^{2}

= 1 + 9 x^{4} + 6 x^{2}

Faktorisiere

9 x^{4} + 6 x^{2} + 1 : (3 x^{2} + 1)^{2}

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

Wende Radikal Regel an:

n a^{n} = a,

angenommen

a \geq 0

= 3 x^{2} + 1

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

e x p an d \frac{( 2 x - b + g ) ( 2 x - a + b )}{4}

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

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

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