Réitigh 9x^2-3x-5,6x^2-8x-1

$$9 x ^ { 2 } - 3 x - 5,6 x ^ { 2 } - 8 x - 1$$

Comhiolraí is Lú

$$\frac{\left(\left(6x-4\right)^{2}-22\right)\left(\left(6x-1\right)^{2}-21\right)}{24}$$

Céimeanna Réitigh

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$9x^{2}-3x-5=9\left(x-\left(-\frac{1}{6}\sqrt{21}+\frac{1}{6}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{21}+\frac{1}{6}\right)\right) 6x^{2}-8x-1=6\left(x-\left(-\frac{1}{6}\sqrt{22}+\frac{2}{3}\right)\right)\left(x-\left(\frac{1}{6}\sqrt{22}+\frac{2}{3}\right)\right)$$

Aithin na fachtóirí ar fad agus a gcumhacht is airde i ngach slonn. Iolraigh na cumhachtaí fachtóirí is airde chun an t-iolraí is lú coitianta a fháil.

$$54\left(x-\frac{1-\sqrt{21}}{6}\right)\left(x-\left(-\frac{\sqrt{22}}{6}+\frac{2}{3}\right)\right)\left(x-\frac{\sqrt{21}+1}{6}\right)\left(x-\left(\frac{\sqrt{22}}{6}+\frac{2}{3}\right)\right)$$

Fairsingigh an slonn.

$$54x^{4}-90x^{3}-15x^{2}+43x+5$$

Luacháil

$$9x^{2}-3x-5,6x^{2}-8x-1$$