x^-2/x^-2+y^-2 eching

$$\frac { x ^ { - 2 } } { x ^ { - 2 } + y ^ { - 2 } }$$

Baholash

$$\frac{y^{2}}{x^{2}+y^{2}}$$

Qisqa yechim qadamlari

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x^{-2} ni qisqartiring.

$$\frac{1}{y^{-2}x^{2}+1}$$

Ifodani kengaytiring.

$$\frac{1}{1+\left(\frac{1}{y}x\right)^{2}}$$

\frac{1}{y}x ni yagona kasrga aylantiring.

$$\frac{1}{1+\left(\frac{x}{y}\right)^{2}}$$

\frac{x}{y}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{1}{1+\frac{x^{2}}{y^{2}}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{y^{2}}{y^{2}} marotabaga ko'paytirish.

$$\frac{1}{\frac{y^{2}}{y^{2}}+\frac{x^{2}}{y^{2}}}$$

\frac{y^{2}}{y^{2}} va \frac{x^{2}}{y^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1}{\frac{y^{2}+x^{2}}{y^{2}}}$$

1 ni \frac{y^{2}+x^{2}}{y^{2}} ga bo'lish 1 ga k'paytirish \frac{y^{2}+x^{2}}{y^{2}} ga qaytarish.

$$\frac{y^{2}}{y^{2}+x^{2}}$$

x ga nisbatan hosilani topish

$$-2\times \left(\frac{y}{x^{2}+y^{2}}\right)^{2}x$$