(1/x)^2/(1-(x-1/x)^2) eching

$$( \frac { 1 } { x } ) ^ { 2 } / ( 1 - ( \frac { x - 1 } { x } ) ^ { 2 } )$$

Baholash

$$\frac{1}{2x-1}$$

Qisqa yechim qadamlari

\frac{1}{x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\frac{x-1}{x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

\frac{x^{2}}{x^{2}} va \frac{\left(x-1\right)^{2}}{x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

x^{2}-\left(x-1\right)^{2} ichidagi ko‘paytirishlarni bajaring.

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

x^{2}-x^{2}+2x-1 kabi iboralarga o‘xshab birlashtiring.

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

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

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

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

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

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1}{2x-1}$$

Kengaytirish

$$\frac{1}{2x-1}$$

Qisqa yechim qadamlari

\frac{1}{x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

\frac{x-1}{x}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

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

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

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

\frac{x^{2}}{x^{2}} va \frac{\left(x-1\right)^{2}}{x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

x^{2}-\left(x-1\right)^{2} ichidagi ko‘paytirishlarni bajaring.

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

x^{2}-x^{2}+2x-1 kabi iboralarga o‘xshab birlashtiring.

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

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

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

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

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

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{1}{2x-1}$$