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

Lösung

erweitern

(ln (x) + 1) (ln (x) + 2)

ln^{2} (x) + 3 ln (x) + 2

Schritte zur Lösung

(ln (x) + 1) (ln (x) + 2)

Wende Ausklammerungsregel an (VANI):

(a + b) (c + d) = a c + a d + b c + b d

a = ln (x), b = 1, c = ln (x), d = 2

= ln (x) ln (x) + ln (x) \cdot 2 + 1 \cdot ln (x) + 1 \cdot 2

= ln (x) ln (x) + 2 ln (x) + 1 \cdot ln (x) + 1 \cdot 2

Vereinfache

ln (x) ln (x) + 2 ln (x) + 1 \cdot ln (x) + 1 \cdot 2 : ln^{2} (x) + 3 ln (x) + 2

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

e x p an d \frac{( s + 2.847050174 ) ^{2}}{s}

e x p an d (- 4 v, - 1, 2 u + 1) (0, 2, 1)

\frac{\partial}{\partial u} ((y) (uv - z (y, u, v)))

e x p an d \frac{( - 2 x - 3 x ^{2} ) ( 4 - x ^{2} - x ^{3} )}{h}

e x p an d 3 sin (\frac{( π ( x - 5 ) )}{( 6 )})