Réitigh {l}{24x^4+15x^2+24}{(60x^3-75x^2+15x):(15x)}

$$\left. \begin{array} { l } { 24 x ^ { 4 } + 15 x ^ { 2 } + 24 } \\ { ( 60 x ^ { 3 } - 75 x ^ { 2 } + 15 x ) : ( 15 x ) } \end{array} \right.$$

Comhiolraí is Lú

$$3\left(x-1\right)\left(4x-1\right)\left(8x^{4}+5x^{2}+8\right)$$

Céimeanna Réitigh

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$24x^{4}+15x^{2}+24=3\left(8x^{4}+5x^{2}+8\right)$$

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.

$$3\left(x-1\right)\left(4x-1\right)\left(8x^{4}+5x^{2}+8\right)$$

Fairsingigh an slonn.

$$96x^{6}-120x^{5}+84x^{4}-75x^{3}+111x^{2}-120x+24$$

Luacháil

$$3\left(8x^{4}+5x^{2}+8\right),\ \left(x-1\right)\left(4x-1\right)$$