x^4/16-y^4/81 eching

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

Omil

$$\frac{\left(3x-2y\right)\left(3x+2y\right)\left(9x^{2}+4y^{2}\right)}{1296}$$

Yechim qadamlari

\frac{1}{1296} omili.

$$\frac{81x^{4}-16y^{4}}{1296}$$

Hisoblang: 81x^{4}-16y^{4}. 81x^{4}-16y^{4} ni \left(9x^{2}\right)^{2}-\left(4y^{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).

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

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

$$\left(3x-2y\right)\left(3x+2y\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$\frac{\left(3x-2y\right)\left(3x+2y\right)\left(9x^{2}+4y^{2}\right)}{1296}$$

Baholash

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 16 va 81 ning eng kichik umumiy karralisi 1296. \frac{x^{4}}{16} ni \frac{81}{81} marotabaga ko'paytirish. \frac{y^{4}}{81} ni \frac{16}{16} marotabaga ko'paytirish.

$$\frac{81x^{4}}{1296}-\frac{16y^{4}}{1296}$$

\frac{81x^{4}}{1296} va \frac{16y^{4}}{1296} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{81x^{4}-16y^{4}}{1296}$$