erweitern (2(-3x^2+7))/((x^2+7)^3)

Lösung

erweitern

\frac{2 ( - 3 x ^{2} + 7 )}{( x ^{2} + 7 ) ^{3}}

\frac{- 6 x ^{2} + 14}{x ^{6} + 21 x ^{4} + 147 x ^{2} + 343}

Schritte zur Lösung

\frac{2 ( - 3 x ^{2} + 7 )}{( x ^{2} + 7 ) ^{3}}

(x^{2} + 7)^{3} = x^{6} + 21 x^{4} + 147 x^{2} + 343

= \frac{2 ( - 3 x ^{2} + 7 )}{x ^{6} + 21 x ^{4} + 147 x ^{2} + 343}

Multipliziere aus

2 (- 3 x^{2} + 7) : - 6 x^{2} + 14

= \frac{- 6 x ^{2} + 14}{x ^{6} + 21 x ^{4} + 147 x ^{2} + 343}

e x p an d \frac{3}{( 4 + n ) ( 5 + n )}

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

e x p an d \frac{s ^{4} + 26 s ^{2} + 64}{s ( s ^{2} + 4 ) ( s ^{2} + 16 )}

e x p an d (y^{3})^{2}

s im pl i f y \frac{lo g _{10} ( ( x + 1 ) ( x + 4 ) )}{( 2 x + 23 )} - 1