erweitern ln(x)*(x-ln(x))

Lösung

erweitern

ln (x) \cdot (x - ln (x))

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

Schritte zur Lösung

ln (x) (x - ln (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = ln (x), b = x, c = ln (x)

= ln (x) x - ln (x) ln (x)

= x ln (x) - ln (x) ln (x)

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

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

s im pl i f y (a a - b b) (a b + b b)

e x p an d \frac{( x - 2 ) ^{2} ( x + 1 )}{( x - 5 )}

s im pl i f y (x^{2} + \frac{1}{4}) (x^{2} - \frac{3}{4})

e x p an d (t - 3) cos (t - 3)

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