2w^4y^4-32w^4 eching

$$2 w ^ { 4 } y ^ { 4 } - 32 w ^ { 4 }$$

Omil

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

Yechim qadamlari

2 omili.

$$2\left(w^{4}y^{4}-16w^{4}\right)$$

Hisoblang: w^{4}y^{4}-16w^{4}. w^{4} omili.

$$w^{4}\left(y^{4}-16\right)$$

Hisoblang: y^{4}-16. y^{4}-16 ni \left(y^{2}\right)^{2}-4^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

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

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

$$\left(y-2\right)\left(y+2\right)$$

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

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

Baholash

$$2w^{4}\left(y^{4}-16\right)$$