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

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

Baholash

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

Qisqa yechim qadamlari

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

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

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

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

\frac{x-2}{\left(x+2\right)\left(x-2\right)^{2}} va \frac{x+2}{\left(x+2\right)\left(x-2\right)^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

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

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

$$\frac{2x}{x^{3}-2x^{2}-4x+8}$$

x ga nisbatan hosilani topish

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