x/x^2-4-1/2x-4 eching

$$\frac { x } { x ^ { 2 } - 4 } - \frac { 1 } { 2 x - 4 }$$

Baholash

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

Qisqa yechim qadamlari

Faktor: x^{2}-4. Faktor: 2x-4.

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

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

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

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

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

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

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

2x-x-2 kabi iboralarga o‘xshab birlashtiring.

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

Surat va maxrajdagi ikkala x-2 ni qisqartiring.

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

2\left(x+2\right) ni kengaytirish.

$$\frac{1}{2x+4}$$

Omil

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