x^2+1/x^2-7(x-1/x) eching

$$x ^ { 2 } + \frac { 1 } { x ^ { 2 } } - 7 ( x - \frac { 1 } { x } )$$

Baholash

$$x^{2}-7x+\frac{7}{x}+\frac{1}{x^{2}}$$

Qisqa yechim qadamlari

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

$$x^{2}+\frac{1}{x^{2}}-7\left(\frac{xx}{x}-\frac{1}{x}\right)$$

\frac{xx}{x} va \frac{1}{x} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$x^{2}+\frac{1}{x^{2}}-7\times \frac{xx-1}{x}$$

xx-1 ichidagi ko‘paytirishlarni bajaring.

$$x^{2}+\frac{1}{x^{2}}-7\times \frac{x^{2}-1}{x}$$

-7\times \frac{x^{2}-1}{x} ni yagona kasrga aylantiring.

$$x^{2}+\frac{1}{x^{2}}+\frac{-7\left(x^{2}-1\right)}{x}$$

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

$$\frac{x^{2}x^{2}}{x^{2}}+\frac{1}{x^{2}}+\frac{-7\left(x^{2}-1\right)}{x}$$

\frac{x^{2}x^{2}}{x^{2}} va \frac{1}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{2}x^{2}+1}{x^{2}}+\frac{-7\left(x^{2}-1\right)}{x}$$

x^{2}x^{2}+1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{4}+1}{x^{2}}+\frac{-7\left(x^{2}-1\right)}{x}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va x ning eng kichik umumiy karralisi x^{2}. \frac{-7\left(x^{2}-1\right)}{x} ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{x^{4}+1}{x^{2}}+\frac{-7\left(x^{2}-1\right)x}{x^{2}}$$

\frac{x^{4}+1}{x^{2}} va \frac{-7\left(x^{2}-1\right)x}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{4}+1-7\left(x^{2}-1\right)x}{x^{2}}$$

x^{4}+1-7\left(x^{2}-1\right)x ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{4}+1-7x^{3}+7x}{x^{2}}$$

Kengaytirish

$$x^{2}-7x+\frac{7}{x}+\frac{1}{x^{2}}$$

Qisqa yechim qadamlari

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

$$x^{2}+\frac{1}{x^{2}}-7\left(\frac{xx}{x}-\frac{1}{x}\right)$$

\frac{xx}{x} va \frac{1}{x} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$x^{2}+\frac{1}{x^{2}}-7\times \frac{xx-1}{x}$$

xx-1 ichidagi ko‘paytirishlarni bajaring.

$$x^{2}+\frac{1}{x^{2}}-7\times \frac{x^{2}-1}{x}$$

-7\times \frac{x^{2}-1}{x} ni yagona kasrga aylantiring.

$$x^{2}+\frac{1}{x^{2}}+\frac{-7\left(x^{2}-1\right)}{x}$$

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

$$\frac{x^{2}x^{2}}{x^{2}}+\frac{1}{x^{2}}+\frac{-7\left(x^{2}-1\right)}{x}$$

\frac{x^{2}x^{2}}{x^{2}} va \frac{1}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{2}x^{2}+1}{x^{2}}+\frac{-7\left(x^{2}-1\right)}{x}$$

x^{2}x^{2}+1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{4}+1}{x^{2}}+\frac{-7\left(x^{2}-1\right)}{x}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va x ning eng kichik umumiy karralisi x^{2}. \frac{-7\left(x^{2}-1\right)}{x} ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{x^{4}+1}{x^{2}}+\frac{-7\left(x^{2}-1\right)x}{x^{2}}$$

\frac{x^{4}+1}{x^{2}} va \frac{-7\left(x^{2}-1\right)x}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{4}+1-7\left(x^{2}-1\right)x}{x^{2}}$$

x^{4}+1-7\left(x^{2}-1\right)x ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{4}+1-7x^{3}+7x}{x^{2}}$$