16x^8/625-256y^4/81 eching

$$\frac{ 16 { x }^{ 8 } }{ 625 } - \frac{ 256 { y }^{ 4 } }{ 81 }$$

Omil

$$\frac{16\left(3x^{2}-10y\right)\left(3x^{2}+10y\right)\left(9x^{4}+100y^{2}\right)}{50625}$$

Yechim qadamlari

\frac{16}{50625} omili.

$$\frac{16\left(81x^{8}-10000y^{4}\right)}{50625}$$

Hisoblang: 81x^{8}-10000y^{4}. 81x^{8}-10000y^{4} ni \left(9x^{4}\right)^{2}-\left(100y^{2}\right)^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(9x^{4}-100y^{2}\right)\left(9x^{4}+100y^{2}\right)$$

Hisoblang: 9x^{4}-100y^{2}. 9x^{4}-100y^{2} ni \left(3x^{2}\right)^{2}-\left(10y\right)^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(3x^{2}-10y\right)\left(3x^{2}+10y\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\frac{16\left(3x^{2}-10y\right)\left(3x^{2}+10y\right)\left(9x^{4}+100y^{2}\right)}{50625}$$

Baholash

$$\frac{16x^{8}}{625}-\frac{256y^{4}}{81}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 625 va 81 ning eng kichik umumiy karralisi 50625. \frac{16x^{8}}{625} ni \frac{81}{81} marotabaga ko'paytirish. \frac{256y^{4}}{81} ni \frac{625}{625} marotabaga ko'paytirish.

$$\frac{81\times 16x^{8}}{50625}-\frac{625\times 256y^{4}}{50625}$$

\frac{81\times 16x^{8}}{50625} va \frac{625\times 256y^{4}}{50625} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{81\times 16x^{8}-625\times 256y^{4}}{50625}$$

81\times 16x^{8}-625\times 256y^{4} ichidagi ko‘paytirishlarni bajaring.

$$\frac{1296x^{8}-160000y^{4}}{50625}$$