erweitern (9(x^2+49))/((16-x^2)^3)

Lösung

erweitern

\frac{9 ( x ^{2} + 49 )}{( 16 - x ^{2} ) ^{3}}

\frac{9 x ^{2} + 441}{4096 - 768 x ^{2} + 48 x ^{4} - x ^{6}}

Schritte zur Lösung

\frac{9 ( x ^{2} + 49 )}{( 16 - x ^{2} ) ^{3}}

(16 - x^{2})^{3} = 4096 - 768 x^{2} + 48 x^{4} - x^{6}

= \frac{9 ( x ^{2} + 49 )}{4096 - 768 x ^{2} + 48 x ^{4} - x ^{6}}

Multipliziere aus

9 (x^{2} + 49) : 9 x^{2} + 441

= \frac{9 x ^{2} + 441}{4096 - 768 x ^{2} + 48 x ^{4} - x ^{6}}

e x p an d \frac{2 x ^{5} + 4 x ^{3} - 3 x ^{2} + 3 x - 1}{( x ^{3} + 1 ) ^{3}}

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

e x p an d \frac{1}{( s + 10 ) ( s + 2 ) ^{2}}

e x p an d 4 (8 e + 28)

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