erweitern (2(3x^8-12x^4+1))/((x^4+1)^3)

Lösung

erweitern

\frac{2 ( 3 x ^{8} - 12 x ^{4} + 1 )}{( x ^{4} + 1 ) ^{3}}

\frac{6 x ^{8} - 24 x ^{4} + 2}{x ^{12} + 3 x ^{8} + 3 x ^{4} + 1}

Schritte zur Lösung

\frac{2 ( 3 x ^{8} - 12 x ^{4} + 1 )}{( x ^{4} + 1 ) ^{3}}

(x^{4} + 1)^{3} = x^{12} + 3 x^{8} + 3 x^{4} + 1

= \frac{2 ( 3 x ^{8} - 12 x ^{4} + 1 )}{x ^{12} + 3 x ^{8} + 3 x ^{4} + 1}

Multipliziere aus

2 (3 x^{8} - 12 x^{4} + 1) : 6 x^{8} - 24 x^{4} + 2

= \frac{6 x ^{8} - 24 x ^{4} + 2}{x ^{12} + 3 x ^{8} + 3 x ^{4} + 1}

e x p an d (x^{2} + 4 x - 5)^{5}

e x p an d \frac{( ( 2 π - 80 ) x + 1260 )}{9}

e x p an d s + 5 ((s + 10) (s + 3))

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

e x p an d \frac{( x ^{4} + 2 x ^{3} - 10 x ^{2} - x + 4 )}{( x \cdot ( x + 3 ) \cdot ( x - 2 ) )}