erweitern (16x^2+40)/((x^2+0.8x+4)(x^2+1)(x^2+4))

Lösung

erweitern

\frac{16 x ^{2} + 40}{( x ^{2} + 0.8 x + 4 ) ( x ^{2} + 1 ) ( x ^{2} + 4 )}

\frac{16 x ^{2} + 40}{x ^{6} + 0.8 x ^{5} + 9 x ^{4} + 4 x ^{3} + 24 x ^{2} + 3.2 x + 16}

Schritte zur Lösung

\frac{16 x ^{2} + 40}{( x ^{2} + 0.8 x + 4 ) ( x ^{2} + 1 ) ( x ^{2} + 4 )}

Multipliziere aus

(x^{2} + 0.8 x + 4) (x^{2} + 1) (x^{2} + 4) : x^{6} + 0.8 x^{5} + 9 x^{4} + 4 x^{3} + 24 x^{2} + 3.2 x + 16

= \frac{16 x ^{2} + 40}{x ^{6} + 0.8 x ^{5} + 9 x ^{4} + 4 x ^{3} + 24 x ^{2} + 3.2 x + 16}

e x p an d (x 32 + y 3)^{3}

e x p an d (x^{3} + x^{2} - 6) l e f t (x^{2} + x + 1)

e x p an d \frac{s - 6}{s ( s ^{2} - 14 s + 49 )}

e x p an d \frac{2 ( 2 + s + s ^{2} + 2 s ^{4} + 6 s ^{3} )}{s ^{3} ( s + 1 ) ( s + 2 )}

e x p an d (1 + 4 x) y