6x^2y-24x^2-18y+72 eching

$$6 { x }^{ 2 } y-24 { x }^{ 2 } -18y+72$$

Omil

$$6\left(y-4\right)\left(x^{2}-3\right)$$

Yechim qadamlari

6 omili.

$$6\left(x^{2}y-4x^{2}-3y+12\right)$$

Hisoblang: x^{2}y-4x^{2}-3y+12. x^{2}y-4x^{2}-3y+12=\left(x^{2}y-4x^{2}\right)+\left(-3y+12\right) misolini guruhlang hamda x^{2} ni birinchi va -3 ni ikkinchi guruhdan ajrating.

$$x^{2}\left(y-4\right)-3\left(y-4\right)$$

Distributiv funktsiyasidan foydalangan holda y-4 umumiy terminini chiqaring.

$$\left(y-4\right)\left(x^{2}-3\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli x^{2}-3 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$6\left(y-4\right)\left(x^{2}-3\right)$$

Baholash

$$6\left(y-4\right)\left(x^{2}-3\right)$$