s^8-6561 eching

$$s ^ { 8 } - 6561$$

Omil

$$\left(s-3\right)\left(s+3\right)\left(s^{2}+9\right)\left(s^{4}+81\right)$$

Yechim qadamlari

s^{8}-6561 ni \left(s^{4}\right)^{2}-81^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(s^{4}-81\right)\left(s^{4}+81\right)$$

Hisoblang: s^{4}-81. s^{4}-81 ni \left(s^{2}\right)^{2}-9^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(s^{2}-9\right)\left(s^{2}+9\right)$$

Hisoblang: s^{2}-9. s^{2}-9 ni s^{2}-3^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(s-3\right)\left(s+3\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Quyidagi koʻphadlar faktorlanmagan, ularda hech qanday ratsional ildizlar topilmadi: s^{2}+9,s^{4}+81.

$$\left(s-3\right)\left(s+3\right)\left(s^{2}+9\right)\left(s^{4}+81\right)$$

Baholash

$$s^{8}-6561$$