1/x^2-2x-1/x^2+2x eching

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

Baholash

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

Qisqa yechim qadamlari

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

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

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

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

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

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

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

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

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

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

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

$$\frac{4}{x^{3}-4x}$$

x ga nisbatan hosilani topish

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