81p^3q^2-24q^2 eching

$$81 p ^ { 3 } q ^ { 2 } - 24 q ^ { 2 }$$

Omil

$$3\left(3p-2\right)q^{2}\left(9p^{2}+6p+4\right)$$

Yechim qadamlari

3 omili.

$$3\left(27p^{3}q^{2}-8q^{2}\right)$$

Hisoblang: 27p^{3}q^{2}-8q^{2}. q^{2} omili.

$$q^{2}\left(27p^{3}-8\right)$$

Hisoblang: 27p^{3}-8. 27p^{3}-8 ni \left(3p\right)^{3}-2^{3} sifatida qaytadan yozish. Kublarning farqini ushbu formula bilan hisoblash mumkin: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).

$$\left(3p-2\right)\left(9p^{2}+6p+4\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli 9p^{2}+6p+4 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$3q^{2}\left(3p-2\right)\left(9p^{2}+6p+4\right)$$

Baholash

$$3q^{2}\left(27p^{3}-8\right)$$