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

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

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

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

Vereinfache

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

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

e x p an d \frac{8}{3} \cdot (ln (2) - \frac{1}{3})

e x p an d y^{'} (x) (2 x + 1)^{3}

e x p an d \frac{1}{48} (x - 5) (x - 3)

s im pl i f y (10) \cdot (1 + (12 \cdot 1 0^{- 6} (\circ c)^{- 1})) \cdot (80)

e x p an d \frac{- ln ( 5 + e ) + 2}{ln ^{3} ( 5 + e ) ( 5 + e )}