5x/2x^2-6x-2x/x^2-3x eching

$$\frac { 5 x } { 2 x ^ { 2 } - 6 x } - \frac { 2 x } { x ^ { 2 } - 3 x }$$

Baholash

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

Qisqa yechim qadamlari

\frac{5x}{2x^{2}-6x} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{5x}{2x\left(x-3\right)}-\frac{2x}{x^{2}-3x}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{5}{2\left(x-3\right)}-\frac{2x}{x^{2}-3x}$$

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

$$\frac{5}{2\left(x-3\right)}-\frac{2x}{x\left(x-3\right)}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{5}{2\left(x-3\right)}-\frac{2}{x-3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2\left(x-3\right) va x-3 ning eng kichik umumiy karralisi 2\left(x-3\right). \frac{2}{x-3} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{5}{2\left(x-3\right)}-\frac{2\times 2}{2\left(x-3\right)}$$

\frac{5}{2\left(x-3\right)} va \frac{2\times 2}{2\left(x-3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5-2\times 2}{2\left(x-3\right)}$$

5-2\times 2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{5-4}{2\left(x-3\right)}$$

5-4 hisob-kitobini qiling.

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

2\left(x-3\right) ni kengaytirish.

$$\frac{1}{2x-6}$$

Omil

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