erweitern (-x^2+6x+7)/((x^2+7)^2)

Lösung

erweitern

\frac{- x ^{2} + 6 x + 7}{( x ^{2} + 7 ) ^{2}}

\frac{- x ^{2} + 6 x + 7}{x ^{4} + 14 x ^{2} + 49}

Schritte zur Lösung

\frac{- x ^{2} + 6 x + 7}{( x ^{2} + 7 ) ^{2}}

(x^{2} + 7)^{2} = x^{4} + 14 x^{2} + 49

= \frac{- x ^{2} + 6 x + 7}{x ^{4} + 14 x ^{2} + 49}

e x p an d [2 (5 x - 4) ln (x) - 5 x (ln (x))^{2}]

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

e x p an d e^{(2 x)} (x + 6)

e x p an d \frac{\frac{d}{d x} ( ( 4 x ^{2} + 7 ) ( 3 x + 3 ) )}{( 5 x - 2 )}

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