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

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = ln (x), b = 1

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

Vereinfache

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

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

e x p an d \frac{r ( r - θ )}{θ ^{2}}

e x p an d \frac{( 124 x + 127 ) ( x - 1 )}{30}

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

e x p an d lo g_{b} (5 \frac{x y ^{2}}{z ^{3}})

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