y-2/3x-x+3x^2-x/6xy-2y eching

$$\frac{ y-2 }{ 3x-x } + \frac{ 3 { x }^{ 2 } -x }{ 6xy-2y }$$

Baholash

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

Qisqa yechim qadamlari

2x ni olish uchun 3x va -x ni birlashtirish.

$$\frac{y-2}{2x}+\frac{3x^{2}-x}{6xy-2y}$$

\frac{3x^{2}-x}{6xy-2y} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{y-2}{2x}+\frac{x\left(3x-1\right)}{2y\left(3x-1\right)}$$

Surat va maxrajdagi ikkala 3x-1 ni qisqartiring.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2x va 2y ning eng kichik umumiy karralisi 2xy. \frac{y-2}{2x} ni \frac{y}{y} marotabaga ko'paytirish. \frac{x}{2y} ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{\left(y-2\right)y}{2xy}+\frac{xx}{2xy}$$

\frac{\left(y-2\right)y}{2xy} va \frac{xx}{2xy} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(y-2\right)y+xx}{2xy}$$

\left(y-2\right)y+xx ichidagi ko‘paytirishlarni bajaring.

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

Kengaytirish

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

Qisqa yechim qadamlari

2x ni olish uchun 3x va -x ni birlashtirish.

$$\frac{y-2}{2x}+\frac{3x^{2}-x}{6xy-2y}$$

\frac{3x^{2}-x}{6xy-2y} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{y-2}{2x}+\frac{x\left(3x-1\right)}{2y\left(3x-1\right)}$$

Surat va maxrajdagi ikkala 3x-1 ni qisqartiring.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2x va 2y ning eng kichik umumiy karralisi 2xy. \frac{y-2}{2x} ni \frac{y}{y} marotabaga ko'paytirish. \frac{x}{2y} ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{\left(y-2\right)y}{2xy}+\frac{xx}{2xy}$$

\frac{\left(y-2\right)y}{2xy} va \frac{xx}{2xy} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(y-2\right)y+xx}{2xy}$$

\left(y-2\right)y+xx ichidagi ko‘paytirishlarni bajaring.

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