4/a-3+3/a+3-24/a^2-9 eching

$$\frac{ 4 }{ a-3 } + \frac{ 3 }{ a+3 } - \frac{ 24 }{ { a }^{ 2 } -9 }$$

Baholash

$$\frac{7}{a+3}$$

Qisqa yechim qadamlari

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

$$\frac{4\left(a+3\right)}{\left(a-3\right)\left(a+3\right)}+\frac{3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}-\frac{24}{a^{2}-9}$$

\frac{4\left(a+3\right)}{\left(a-3\right)\left(a+3\right)} va \frac{3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{4\left(a+3\right)+3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}-\frac{24}{a^{2}-9}$$

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

$$\frac{4a+12+3a-9}{\left(a-3\right)\left(a+3\right)}-\frac{24}{a^{2}-9}$$

4a+12+3a-9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{7a+3}{\left(a-3\right)\left(a+3\right)}-\frac{24}{a^{2}-9}$$

Faktor: a^{2}-9.

$$\frac{7a+3}{\left(a-3\right)\left(a+3\right)}-\frac{24}{\left(a-3\right)\left(a+3\right)}$$

\frac{7a+3}{\left(a-3\right)\left(a+3\right)} va \frac{24}{\left(a-3\right)\left(a+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{7a+3-24}{\left(a-3\right)\left(a+3\right)}$$

7a+3-24 kabi iboralarga o‘xshab birlashtiring.

$$\frac{7a-21}{\left(a-3\right)\left(a+3\right)}$$

\frac{7a-21}{\left(a-3\right)\left(a+3\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{7\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}$$

Surat va maxrajdagi ikkala a-3 ni qisqartiring.

$$\frac{7}{a+3}$$

a ga nisbatan hosilani topish

$$-\frac{7}{\left(a+3\right)^{2}}$$