(x^2+1/x^2)+10(x+1/x)+27 eching

$$( x ^ { 2 } + \frac { 1 } { x ^ { 2 } } ) + 10 ( x + \frac { 1 } { x } ) + 27$$

Baholash

$$x^{2}+10x+27+\frac{10}{x}+\frac{1}{x^{2}}$$

Qisqa yechim qadamlari

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

$$x^{2}+\frac{1}{x^{2}}+10\left(\frac{xx}{x}+\frac{1}{x}\right)+27$$

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

$$x^{2}+\frac{1}{x^{2}}+10\times \frac{xx+1}{x}+27$$

xx+1 ichidagi ko‘paytirishlarni bajaring.

$$x^{2}+\frac{1}{x^{2}}+10\times \frac{x^{2}+1}{x}+27$$

10\times \frac{x^{2}+1}{x} ni yagona kasrga aylantiring.

$$x^{2}+\frac{1}{x^{2}}+\frac{10\left(x^{2}+1\right)}{x}+27$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2}+27 ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.

$$\frac{\left(x^{2}+27\right)x^{2}}{x^{2}}+\frac{1}{x^{2}}+\frac{10\left(x^{2}+1\right)}{x}$$

\frac{\left(x^{2}+27\right)x^{2}}{x^{2}} va \frac{1}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(x^{2}+27\right)x^{2}+1}{x^{2}}+\frac{10\left(x^{2}+1\right)}{x}$$

\left(x^{2}+27\right)x^{2}+1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{4}+27x^{2}+1}{x^{2}}+\frac{10\left(x^{2}+1\right)}{x}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va x ning eng kichik umumiy karralisi x^{2}. \frac{10\left(x^{2}+1\right)}{x} ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{x^{4}+27x^{2}+1}{x^{2}}+\frac{10\left(x^{2}+1\right)x}{x^{2}}$$

\frac{x^{4}+27x^{2}+1}{x^{2}} va \frac{10\left(x^{2}+1\right)x}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{4}+27x^{2}+1+10\left(x^{2}+1\right)x}{x^{2}}$$

x^{4}+27x^{2}+1+10\left(x^{2}+1\right)x ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{4}+27x^{2}+1+10x^{3}+10x}{x^{2}}$$

Kengaytirish

$$x^{2}+10x+27+\frac{10}{x}+\frac{1}{x^{2}}$$

Qisqa yechim qadamlari

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

$$x^{2}+\frac{1}{x^{2}}+10\left(\frac{xx}{x}+\frac{1}{x}\right)+27$$

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

$$x^{2}+\frac{1}{x^{2}}+10\times \frac{xx+1}{x}+27$$

xx+1 ichidagi ko‘paytirishlarni bajaring.

$$x^{2}+\frac{1}{x^{2}}+10\times \frac{x^{2}+1}{x}+27$$

10\times \frac{x^{2}+1}{x} ni yagona kasrga aylantiring.

$$x^{2}+\frac{1}{x^{2}}+\frac{10\left(x^{2}+1\right)}{x}+27$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2}+27 ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.

$$\frac{\left(x^{2}+27\right)x^{2}}{x^{2}}+\frac{1}{x^{2}}+\frac{10\left(x^{2}+1\right)}{x}$$

\frac{\left(x^{2}+27\right)x^{2}}{x^{2}} va \frac{1}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(x^{2}+27\right)x^{2}+1}{x^{2}}+\frac{10\left(x^{2}+1\right)}{x}$$

\left(x^{2}+27\right)x^{2}+1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{4}+27x^{2}+1}{x^{2}}+\frac{10\left(x^{2}+1\right)}{x}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va x ning eng kichik umumiy karralisi x^{2}. \frac{10\left(x^{2}+1\right)}{x} ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{x^{4}+27x^{2}+1}{x^{2}}+\frac{10\left(x^{2}+1\right)x}{x^{2}}$$

\frac{x^{4}+27x^{2}+1}{x^{2}} va \frac{10\left(x^{2}+1\right)x}{x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{4}+27x^{2}+1+10\left(x^{2}+1\right)x}{x^{2}}$$

x^{4}+27x^{2}+1+10\left(x^{2}+1\right)x ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{4}+27x^{2}+1+10x^{3}+10x}{x^{2}}$$