Réitigh {l}{3(x+2)^2-6}{(x+5)^2-24}

$$\left. \begin{array} { l } { 3 ( x + 2 ) ^ { 2 } - 6 } \\ { ( x + 5 ) ^ { 2 } - 24 } \end{array} \right.$$

Comhiolraí is Lú

$$3\left(\left(x+2\right)^{2}-2\right)\left(\left(x+5\right)^{2}-24\right)$$

Céimeanna Réitigh

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$3\left(x+2\right)^{2}-6=3\left(x-\left(\sqrt{2}-2\right)\right)\left(x-\left(-\sqrt{2}-2\right)\right) \left(x+5\right)^{2}-24=\left(x-\left(-2\sqrt{6}-5\right)\right)\left(x-\left(2\sqrt{6}-5\right)\right)$$

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.

$$3\left(x-\left(-\sqrt{2}-2\right)\right)\left(x-\left(-2\sqrt{6}-5\right)\right)\left(x-\left(\sqrt{2}-2\right)\right)\left(x-\left(2\sqrt{6}-5\right)\right)$$

Fairsingigh an slonn.

$$3x^{4}+42x^{3}+129x^{2}+72x+6$$

Luacháil

$$3\left(\left(x+2\right)^{2}-2\right),\ \left(x+5\right)^{2}-24$$