erweitern (2x^3+2x^2-7x+12)/(x(x+3)(x-4)(x+2))

Lösung

erweitern

\frac{2 x ^{3} + 2 x ^{2} - 7 x + 12}{x ( x + 3 ) ( x - 4 ) ( x + 2 )}

\frac{2 x ^{3} + 2 x ^{2} - 7 x + 12}{x ^{4} + x ^{3} - 14 x ^{2} - 24 x}

Schritte zur Lösung

\frac{2 x ^{3} + 2 x ^{2} - 7 x + 12}{x ( x + 3 ) ( x - 4 ) ( x + 2 )}

Multipliziere aus

x (x + 3) (x - 4) (x + 2) : x^{4} + x^{3} - 14 x^{2} - 24 x

= \frac{2 x ^{3} + 2 x ^{2} - 7 x + 12}{x ^{4} + x ^{3} - 14 x ^{2} - 24 x}

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

s im pl i f y (5 + 2 cos (x)) (cos (x))

s im pl i f y (x^{9} + \frac{3}{4}) (x^{9} - \frac{3}{4})

e x p an d (cos^{2} (x))^{2} + (sin^{2} (x))^{2}

e x p an d \frac{2 x + 6}{( x - 3 ) ( x + 7 )}