3x^2y^4-48x^2 eching

$$3 x ^ { 2 } y ^ { 4 } - 48 x ^ { 2 }$$

Omil

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

Yechim qadamlari

3 omili.

$$3\left(x^{2}y^{4}-16x^{2}\right)$$

Hisoblang: x^{2}y^{4}-16x^{2}. x^{2} omili.

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

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.

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

Baholash

$$3x^{2}\left(y^{4}-16\right)$$