x^6-x^2 eching

$$x ^ { 6 } - x ^ { 2 }$$

Omil

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

Yechim qadamlari

x^{2} omili.

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

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

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

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

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

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

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

Baholash

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