1/x^2-16+1/2x-8 eching

$$\frac { 1 } { x ^ { 2 } - 16 } + \frac { 1 } { 2 x - 8 }$$

Baholash

$$\frac{x+6}{2\left(x^{2}-16\right)}$$

Qisqa yechim qadamlari

Faktor: x^{2}-16. Faktor: 2x-8.

$$\frac{1}{\left(x-4\right)\left(x+4\right)}+\frac{1}{2\left(x-4\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-4\right)\left(x+4\right) va 2\left(x-4\right) ning eng kichik umumiy karralisi 2\left(x-4\right)\left(x+4\right). \frac{1}{\left(x-4\right)\left(x+4\right)} ni \frac{2}{2} marotabaga ko'paytirish. \frac{1}{2\left(x-4\right)} ni \frac{x+4}{x+4} marotabaga ko'paytirish.

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

\frac{2}{2\left(x-4\right)\left(x+4\right)} va \frac{x+4}{2\left(x-4\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

2+x+4 kabi iboralarga o‘xshab birlashtiring.

$$\frac{6+x}{2\left(x-4\right)\left(x+4\right)}$$

2\left(x-4\right)\left(x+4\right) ni kengaytirish.

$$\frac{6+x}{2x^{2}-32}$$

Omil

$$\frac{x+6}{2\left(x^{2}-16\right)}$$