S1/x^2-2x-1/x^2+2x eching

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

Baholash

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

$$x\neq 0\text{ and }|x|\neq 2$$

Qisqa yechim qadamlari

S\times \frac{1}{x^{2}-2x} ni yagona kasrga aylantiring.

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

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

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

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{S}{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.

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

\frac{S\left(x+2\right)}{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.

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

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

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

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

$$\frac{Sx+2S-x+2}{x^{3}-4x}$$

x ga nisbatan hosilani topish

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

$$x\neq 0\text{ and }|x|\neq 2$$