erweitern-(36(-x^2+1))/((x^2+3)^3)

Lösung

erweitern

- \frac{36 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

- \frac{- 36 x ^{2} + 36}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

Schritte zur Lösung

- \frac{36 ( - x ^{2} + 1 )}{( x ^{2} + 3 ) ^{3}}

(x^{2} + 3)^{3} = x^{6} + 9 x^{4} + 27 x^{2} + 27

= - \frac{36 ( - x ^{2} + 1 )}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

Multipliziere aus

36 (- x^{2} + 1) : - 36 x^{2} + 36

= - \frac{- 36 x ^{2} + 36}{x ^{6} + 9 x ^{4} + 27 x ^{2} + 27}

e x p an d \frac{( 6 - x ) ^{4}}{81}

s im pl i f y (x^{3} + \frac{1}{x ^{3}}) (x^{3} - \frac{1}{x ^{3}})

e x p an d \frac{x + 4}{( x + 5 ) ( x - 1 )}

e x p an d \frac{2 s ^{2} - 6 s + 5}{( s - 1 ) ( s - 2 ) ( s - 3 )}

e x p an d \frac{x + 3}{x ( x + 7 )}