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

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

Baholash

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

Qisqa yechim qadamlari

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

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

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

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

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

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

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

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

x\left(x-2\right)^{2} ni kengaytirish.

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

x ga nisbatan hosilani topish

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