a^2-a-6/a^2-4-2-a-1/2-a= eching

$$\frac { a ^ { 2 } - a - 6 } { a ^ { 2 } - 4 } - 2 - \frac { a - 1 } { 2 - a } =$$

Baholash

$$0$$

Qisqa yechim qadamlari

\frac{a^{2}-a-6}{a^{2}-4} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(a-3\right)\left(a+2\right)}{\left(a-2\right)\left(a+2\right)}-2-\frac{a-1}{2-a}$$

Surat va maxrajdagi ikkala a+2 ni qisqartiring.

$$\frac{a-3}{a-2}-2-\frac{a-1}{2-a}$$

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

$$\frac{a-3}{a-2}-\frac{2\left(a-2\right)}{a-2}-\frac{a-1}{2-a}$$

\frac{a-3}{a-2} va \frac{2\left(a-2\right)}{a-2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{a-3-2\left(a-2\right)}{a-2}-\frac{a-1}{2-a}$$

a-3-2\left(a-2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{a-3-2a+4}{a-2}-\frac{a-1}{2-a}$$

a-3-2a+4 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-a+1}{a-2}-\frac{a-1}{2-a}$$

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

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

\frac{-a+1}{a-2} va \frac{-\left(a-1\right)}{a-2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-a+1-\left(-\left(a-1\right)\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{-a+1+a-1}{a-2}$$

-a+1+a-1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{0}{a-2}$$

Nolni nolga teng bo‘lmagan har qanday songa boʻlsangiz, natija nol chiqadi.

$$0$$

Omil

$$0$$