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Beliebt Algebra >

kgv (a^2-1)^2-(a^2-a),(a^2+a)*e

Lösung

kgv

(a^{2} - 1)^{2} - (a^{2} - a), (a^{2} + a) \cdot e

Lösung

e a (a + 1) (a - 1) (a^{3} + a^{2} - 2 a - 1)

Schritte zur Lösung

Finde das kleinste gemeinsame Vielfache von

(a^{2} - 1)^{2} - (a^{2} - a), (a^{2} + a) \cdot e

Faktorisiere

(a^{2} - 1)^{2} - (a^{2} - a) : (a - 1) (a^{3} + a^{2} - 2 a - 1)

Faktorisiere

(a^{2} + a) e : e a (a + 1)

Multiply each factor with the highest power:

e \cdot a \cdot (a + 1) \cdot (a - 1) \cdot (a^{3} + a^{2} - 2 a - 1)

Beliebte Beispiele

kgv 12x^4+17x^3+8x-40,(x+2)

l c m 12 x^{4} + 17 x^{3} + 8 x - 40, (x + 2)

kgv c,(x-2)(x^2+2x+4)

l c m c, (x - 2) (x^{2} + 2 x + 4)

kgv b*(x-3/2)(x+4),=(2x-3)(2x+8)

l c m b \cdot (x - \frac{3}{2}) (x + 4), = (2 x - 3) (2 x + 8)

kgv e^{\mid}x,+1

l c m e^{∣} x, + 1

kgv 36(x^3+x^2*y-12x*y^2),54(x^3*y+4x^2*y^2-21x*y^3)

l c m 36 (x^{3} + x^{2} \cdot y - 12 x \cdot y^{2}), 54 (x^{3} \cdot y + 4 x^{2} \cdot y^{2} - 21 x \cdot y^{3})