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Beliebt Algebra >

(((x^2-1)(x+2)*(x+1)^2))/((x-2))<0

Lösung

\frac{( ( x ^{2} - 1 ) ( x + 2 ) \cdot ( x + 1 ) ^{2} )}{( x - 2 )} < 0

Lösung

- 2 < x < - 1 or 1 < x < 2

+1

Intervall-Notation

(- 2, - 1) \cup (1, 2)

Schritte zur Lösung

\frac{( x ^{2} - 1 ) ( x + 2 ) ( x + 1 ) ^{2}}{x - 2} < 0

Faktorisiere

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

\frac{( x + 1 ) ^{3} ( x - 1 ) ( x + 2 )}{x - 2} < 0

Identifiziere die Intervalle

- 2 < x < - 1 or 1 < x < 2

Graph

Beliebte Beispiele

(x - 1)^{2} < 25

((x^2))/((x-1))>= 0

\frac{( x ^{2} )}{( x - 1 )} \geq 0

(x - 4)^{2} > 0

(x^2+2)/(x^2-1)<-2

\frac{x ^{2} + 2}{x ^{2} - 1} < - 2

((x^2+x+1))/((x^2+2))< 1/3

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