erweitern (log_{10}(x))/((log_{10)(x)+1)^2}

Lösung

erweitern

\frac{lo g _{10} ( x )}{( lo g _{10} ( x ) + 1 ) ^{2}}

\frac{lo g _{10} ( x )}{lo g _{10} ( x ) ^{2} + 2 lo g _{10} ( x ) + 1}

Schritte zur Lösung

\frac{lo g _{10} ( x )}{( lo g _{10} ( x ) + 1 ) ^{2}}

(lo g_{10} (x) + 1)^{2} = lo g_{10} (x)^{2} + 2 lo g_{10} (x) + 1

= \frac{lo g _{10} ( x )}{lo g _{10} ( x ) ^{2} + 2 lo g _{10} ( x ) + 1}

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

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

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

e x p an d \frac{20}{( S + 1 ) ( S ^{2} + 4 S + 13 )}

e x p an d \frac{x ^{3} + 1}{x ( x - 1 ) ^{3}}