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

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

Baholash

$$2$$

Qisqa yechim qadamlari

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

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

\frac{2\left(x+2\right)}{x+2} va \frac{8}{x+2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

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

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

2x+4-8 kabi iboralarga o‘xshab birlashtiring.

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

\frac{x^{2}-4x+4}{x^{2}-4} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-2 ni qisqartiring.

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

\frac{2x-4}{x+2} ni \frac{x-2}{x+2} ga bo'lish \frac{2x-4}{x+2} ga k'paytirish \frac{x-2}{x+2} ga qaytarish.

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

Surat va maxrajdagi ikkala x+2 ni qisqartiring.

$$\frac{2x-4}{x-2}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-2 ni qisqartiring.

$$2$$

Omil

$$2$$