erweitern (25)/((3+2x)^2(1-x))

Lösung

erweitern

\frac{25}{( 3 + 2 x ) ^{2} ( 1 - x )}

\frac{25}{9 + 3 x - 8 x ^{2} - 4 x ^{3}}

Schritte zur Lösung

\frac{25}{( 3 + 2 x ) ^{2} ( 1 - x )}

(3 + 2 x)^{2} = 9 + 12 x + 4 x^{2}

= \frac{25}{( 4 x ^{2} + 12 x + 9 ) ( - x + 1 )}

Multipliziere aus

(9 + 12 x + 4 x^{2}) (1 - x) : 9 + 3 x - 8 x^{2} - 4 x^{3}

= \frac{25}{9 + 3 x - 8 x ^{2} - 4 x ^{3}}

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

e x p an d (\frac{2}{3} x + 2 y = 0,) (\frac{3}{4} x - 5 y = 8)

e x p an d \frac{2 x ^{2} + 2 x + 10}{( x + 1 ) ( x ^{2} + 9 )}

e x p an d (10 - 3) \times ((- 2, 5, 1) \times (311))

s im pl i f y (6 x + \frac{1}{4}) (6 x - \frac{1}{4})