2u^4y^2-2y^2 eching

$$2 u ^ { 4 } y ^ { 2 } - 2 y ^ { 2 }$$

Omil

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

Yechim qadamlari

2 omili.

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

Hisoblang: u^{4}y^{2}-y^{2}. y^{2} omili.

$$y^{2}\left(u^{4}-1\right)$$

Hisoblang: u^{4}-1. u^{4}-1 ni \left(u^{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).

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

Hisoblang: u^{2}-1. u^{2}-1 ni u^{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).

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

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

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

Baholash

$$2y^{2}\left(u^{4}-1\right)$$