a+4/a^2-6a+9:a^2-16/2a-6-2/a-4 eching

$$\frac { a + 4 } { a ^ { 2 } - 6 a + 9 } : \frac { a ^ { 2 } - 16 } { 2 a - 6 } - \frac { 2 } { a - 4 }$$

Baholash

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

Qisqa yechim qadamlari

\frac{a+4}{a^{2}-6a+9} ni \frac{a^{2}-16}{2a-6} ga bo'lish \frac{a+4}{a^{2}-6a+9} ga k'paytirish \frac{a^{2}-16}{2a-6} ga qaytarish.

$$\frac{\left(a+4\right)\left(2a-6\right)}{\left(a^{2}-6a+9\right)\left(a^{2}-16\right)}-\frac{2}{a-4}$$

\frac{\left(a+4\right)\left(2a-6\right)}{\left(a^{2}-6a+9\right)\left(a^{2}-16\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala \left(a-3\right)\left(a+4\right) ni qisqartiring.

$$\frac{2}{\left(a-4\right)\left(a-3\right)}-\frac{2}{a-4}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(a-4\right)\left(a-3\right) va a-4 ning eng kichik umumiy karralisi \left(a-4\right)\left(a-3\right). \frac{2}{a-4} ni \frac{a-3}{a-3} marotabaga ko'paytirish.

$$\frac{2}{\left(a-4\right)\left(a-3\right)}-\frac{2\left(a-3\right)}{\left(a-4\right)\left(a-3\right)}$$

\frac{2}{\left(a-4\right)\left(a-3\right)} va \frac{2\left(a-3\right)}{\left(a-4\right)\left(a-3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2-2\left(a-3\right)}{\left(a-4\right)\left(a-3\right)}$$

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

$$\frac{2-2a+6}{\left(a-4\right)\left(a-3\right)}$$

2-2a+6 kabi iboralarga o‘xshab birlashtiring.

$$\frac{8-2a}{\left(a-4\right)\left(a-3\right)}$$

\frac{8-2a}{\left(a-4\right)\left(a-3\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

4-a mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-2\left(a-4\right)}{\left(a-4\right)\left(a-3\right)}$$

Surat va maxrajdagi ikkala a-4 ni qisqartiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

\frac{a+4}{a^{2}-6a+9} ni \frac{a^{2}-16}{2a-6} ga bo'lish \frac{a+4}{a^{2}-6a+9} ga k'paytirish \frac{a^{2}-16}{2a-6} ga qaytarish.

$$\frac{\left(a+4\right)\left(2a-6\right)}{\left(a^{2}-6a+9\right)\left(a^{2}-16\right)}-\frac{2}{a-4}$$

\frac{\left(a+4\right)\left(2a-6\right)}{\left(a^{2}-6a+9\right)\left(a^{2}-16\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala \left(a-3\right)\left(a+4\right) ni qisqartiring.

$$\frac{2}{\left(a-4\right)\left(a-3\right)}-\frac{2}{a-4}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(a-4\right)\left(a-3\right) va a-4 ning eng kichik umumiy karralisi \left(a-4\right)\left(a-3\right). \frac{2}{a-4} ni \frac{a-3}{a-3} marotabaga ko'paytirish.

$$\frac{2}{\left(a-4\right)\left(a-3\right)}-\frac{2\left(a-3\right)}{\left(a-4\right)\left(a-3\right)}$$

\frac{2}{\left(a-4\right)\left(a-3\right)} va \frac{2\left(a-3\right)}{\left(a-4\right)\left(a-3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2-2\left(a-3\right)}{\left(a-4\right)\left(a-3\right)}$$

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

$$\frac{2-2a+6}{\left(a-4\right)\left(a-3\right)}$$

2-2a+6 kabi iboralarga o‘xshab birlashtiring.

$$\frac{8-2a}{\left(a-4\right)\left(a-3\right)}$$

\frac{8-2a}{\left(a-4\right)\left(a-3\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

4-a mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-2\left(a-4\right)}{\left(a-4\right)\left(a-3\right)}$$

Surat va maxrajdagi ikkala a-4 ni qisqartiring.

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