3u^3y^4-3u^3 eching

$$3 u ^ { 3 } y ^ { 4 } - 3 u ^ { 3 }$$

Omil

$$3\left(y-1\right)\left(y+1\right)\left(y^{2}+1\right)u^{3}$$

Yechim qadamlari

3 omili.

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

Hisoblang: u^{3}y^{4}-u^{3}. u^{3} omili.

$$u^{3}\left(y^{4}-1\right)$$

Hisoblang: y^{4}-1. y^{4}-1 ni \left(y^{2}\right)^{2}-1^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(y^{2}-1\right)\left(y^{2}+1\right)$$

Hisoblang: y^{2}-1. y^{2}-1 ni y^{2}-1^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(y-1\right)\left(y+1\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli y^{2}+1 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$3u^{3}\left(y-1\right)\left(y+1\right)\left(y^{2}+1\right)$$

Baholash

$$3u^{3}\left(y^{4}-1\right)$$