8x/(x^2-16)-4/(x+4) eching

$$\frac { 8 x } { ( x ^ { 2 } - 16 ) } - \frac { 4 } { ( x + 4 ) }$$

Baholash

$$\frac{4}{x-4}$$

Qisqa yechim qadamlari

Faktor: x^{2}-16.

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

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

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

\frac{8x}{\left(x-4\right)\left(x+4\right)} va \frac{4\left(x-4\right)}{\left(x-4\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

8x-4\left(x-4\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{8x-4x+16}{\left(x-4\right)\left(x+4\right)}$$

8x-4x+16 kabi iboralarga o‘xshab birlashtiring.

$$\frac{4x+16}{\left(x-4\right)\left(x+4\right)}$$

\frac{4x+16}{\left(x-4\right)\left(x+4\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x+4 ni qisqartiring.

$$\frac{4}{x-4}$$

Omil

$$\frac{4}{x-4}$$