erweitern (1+x^2)ln(x)

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = ln (x), b = 1, c = x^{2}

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

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

Multipliziere:

1 \cdot ln (x) = ln (x)

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

e x p an d A (s (s - 3)^{2})

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

s im pl i f y (3 + 6 + 3 t) (3 - 6 + 3 t)

e x p an d, 5 x (5 x^{2} + 2)

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