6+8/x+2*4/x-2 eching

$$6 + \frac { 8 } { x + 2 } \cdot \frac { 4 } { x - 2 }$$

Baholash

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

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{x+2} ni \frac{4}{x-2} ga ko‘paytiring.

$$6+\frac{8\times 4}{\left(x+2\right)\left(x-2\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 ni \frac{\left(x+2\right)\left(x-2\right)}{\left(x+2\right)\left(x-2\right)} marotabaga ko'paytirish.

$$\frac{6\left(x+2\right)\left(x-2\right)}{\left(x+2\right)\left(x-2\right)}+\frac{8\times 4}{\left(x+2\right)\left(x-2\right)}$$

\frac{6\left(x+2\right)\left(x-2\right)}{\left(x+2\right)\left(x-2\right)} va \frac{8\times 4}{\left(x+2\right)\left(x-2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6\left(x+2\right)\left(x-2\right)+8\times 4}{\left(x+2\right)\left(x-2\right)}$$

6\left(x+2\right)\left(x-2\right)+8\times 4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{6x^{2}-12x+12x-24+32}{\left(x+2\right)\left(x-2\right)}$$

6x^{2}-12x+12x-24+32 kabi iboralarga o‘xshab birlashtiring.

$$\frac{6x^{2}+8}{\left(x+2\right)\left(x-2\right)}$$

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

$$\frac{6x^{2}+8}{x^{2}-4}$$

Omil

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