erweitern (8(3x^2+4))/((x^2-4)^3)

Lösung

erweitern

\frac{8 ( 3 x ^{2} + 4 )}{( x ^{2} - 4 ) ^{3}}

\frac{24 x ^{2} + 32}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

Schritte zur Lösung

\frac{8 ( 3 x ^{2} + 4 )}{( x ^{2} - 4 ) ^{3}}

(x^{2} - 4)^{3} = x^{6} - 12 x^{4} + 48 x^{2} - 64

= \frac{8 ( 3 x ^{2} + 4 )}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

Multipliziere aus

8 (3 x^{2} + 4) : 24 x^{2} + 32

= \frac{24 x ^{2} + 32}{x ^{6} - 12 x ^{4} + 48 x ^{2} - 64}

e x p an d \frac{20 ( s + 1 ) ( s + 2 )}{s ^{2} + 32 s + 40}

e x p an d \frac{π}{18} (2 sin (7 x) \cdot cos (2 x) - sin (5 x))

e x p an d \frac{u ^{2} x - u ^{2} x ^{2} - 1}{u ^{4} ( x ^{2} - x ^{3} )}

e x p an d (t^{2} - x t^{2}) x^{^{'}} + x^{2} + t x^{2}

e x p an d l im x \Rightarrow 5 (x^{2} - 6)