x^3/8-27 eching

$$\frac { x ^ { 3 } } { 8 } - 27$$

Omil

$$\frac{\left(x-6\right)\left(x^{2}+6x+36\right)}{8}$$

Yechim qadamlari

\frac{1}{8} omili.

$$\frac{x^{3}-216}{8}$$

Hisoblang: x^{3}-216. x^{3}-216 ni x^{3}-6^{3} sifatida qaytadan yozish. Kublarning farqini ushbu formula bilan hisoblash mumkin: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).

$$\left(x-6\right)\left(x^{2}+6x+36\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli x^{2}+6x+36 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$\frac{\left(x-6\right)\left(x^{2}+6x+36\right)}{8}$$

Baholash

$$\frac{x^{3}}{8}-27$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 27 ni \frac{8}{8} marotabaga ko'paytirish.

$$\frac{x^{3}}{8}-\frac{27\times 8}{8}$$

\frac{x^{3}}{8} va \frac{27\times 8}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{x^{3}-27\times 8}{8}$$

x^{3}-27\times 8 ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{3}-216}{8}$$