x-1/5{{left(frac{x/5right)}^3-1/5}} eching

$$\frac{ x-1 }{ \frac{ 5 }{ { \left( \frac{ x }{ 5 } \right) }^{ 3 } - \frac{ 1 }{ 5 } } }$$

Baholash

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{625}$$

Yechim qadamlari

x-1 ni \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}} ga bo'lish x-1 ga k'paytirish \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}} ga qaytarish.

$$\frac{\left(x-1\right)\left(\left(\frac{x}{5}\right)^{3}-\frac{1}{5}\right)}{5}$$

\frac{x}{5}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(x-1\right)\left(\frac{x^{3}}{5^{3}}-\frac{1}{5}\right)}{5}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5^{3} va 5 ning eng kichik umumiy karralisi 125. \frac{1}{5} ni \frac{25}{25} marotabaga ko'paytirish.

$$\frac{\left(x-1\right)\left(\frac{x^{3}}{125}-\frac{25}{125}\right)}{5}$$

\frac{x^{3}}{125} va \frac{25}{125} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(x-1\right)\times \frac{x^{3}-25}{125}}{5}$$

\left(x-1\right)\times \frac{x^{3}-25}{125} ni yagona kasrga aylantiring.

$$\frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5}$$

\frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5} ni yagona kasrga aylantiring.

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{125\times 5}$$

625 hosil qilish uchun 125 va 5 ni ko'paytirish.

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{625}$$

x-1 ga x^{3}-25 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{x^{4}-25x-x^{3}+25}{625}$$

Kengaytirish

$$\frac{x^{4}}{625}-\frac{x^{3}}{625}-\frac{x}{25}+\frac{1}{25}$$

Yechim qadamlari

x-1 ni \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}} ga bo'lish x-1 ga k'paytirish \frac{5}{\left(\frac{x}{5}\right)^{3}-\frac{1}{5}} ga qaytarish.

$$\frac{\left(x-1\right)\left(\left(\frac{x}{5}\right)^{3}-\frac{1}{5}\right)}{5}$$

\frac{x}{5}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(x-1\right)\left(\frac{x^{3}}{5^{3}}-\frac{1}{5}\right)}{5}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5^{3} va 5 ning eng kichik umumiy karralisi 125. \frac{1}{5} ni \frac{25}{25} marotabaga ko'paytirish.

$$\frac{\left(x-1\right)\left(\frac{x^{3}}{125}-\frac{25}{125}\right)}{5}$$

\frac{x^{3}}{125} va \frac{25}{125} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(x-1\right)\times \frac{x^{3}-25}{125}}{5}$$

\left(x-1\right)\times \frac{x^{3}-25}{125} ni yagona kasrga aylantiring.

$$\frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5}$$

\frac{\frac{\left(x-1\right)\left(x^{3}-25\right)}{125}}{5} ni yagona kasrga aylantiring.

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{125\times 5}$$

625 hosil qilish uchun 125 va 5 ni ko'paytirish.

$$\frac{\left(x-1\right)\left(x^{3}-25\right)}{625}$$

x-1 ga x^{3}-25 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{x^{4}-25x-x^{3}+25}{625}$$