x^10-x^2 eching

$$x ^ { 10 } - x ^ { 2 }$$

Omil

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

Yechim qadamlari

x^{2} omili.

$$x^{2}\left(x^{8}-1\right)$$

Hisoblang: x^{8}-1. x^{8}-1 ni \left(x^{4}\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).

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

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. Quyidagi koʻphadlar faktorlanmagan, ularda hech qanday ratsional ildizlar topilmadi: x^{2}+1,x^{4}+1.

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

Baholash

$$x^{2}\left(x^{8}-1\right)$$