erweitern (72x^2+47x+12)/((1+3x)^2(4-x))

Lösung

erweitern

\frac{72 x ^{2} + 47 x + 12}{( 1 + 3 x ) ^{2} ( 4 - x )}

\frac{72 x ^{2} + 47 x + 12}{4 + 23 x + 30 x ^{2} - 9 x ^{3}}

Schritte zur Lösung

\frac{72 x ^{2} + 47 x + 12}{( 1 + 3 x ) ^{2} ( 4 - x )}

(1 + 3 x)^{2} = 1 + 6 x + 9 x^{2}

= \frac{72 x ^{2} + 47 x + 12}{( 9 x ^{2} + 6 x + 1 ) ( - x + 4 )}

Multipliziere aus

(1 + 6 x + 9 x^{2}) (4 - x) : 4 + 23 x + 30 x^{2} - 9 x^{3}

= \frac{72 x ^{2} + 47 x + 12}{4 + 23 x + 30 x ^{2} - 9 x ^{3}}

s im pl i f y 3 (2 - 3)

e x p an d (1 - r cos (θ))^{2} + r^{2} sin^{2} (θ)

e x p an d (r - r cos (t))^{2}

e x p an d - 0.00676 y + 35 (- 0.00077 e^{(- 0.00077 x)} x + 0.8 9^{(\frac{x}{150})})

s im pl i f y (3 - x^{2} + 5) (3 + x^{2} + 5)