6a/a-5-3/6a-6 eching

$$\frac { 6 a } { a - 5 } - \frac { 3 } { 6 a - 6 }$$

Baholash

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$

Qisqa yechim qadamlari

Faktor: 6a-6.

$$\frac{6a}{a-5}-\frac{3}{6\left(a-1\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a-5 va 6\left(a-1\right) ning eng kichik umumiy karralisi 6\left(a-5\right)\left(a-1\right). \frac{6a}{a-5} ni \frac{6\left(a-1\right)}{6\left(a-1\right)} marotabaga ko'paytirish. \frac{3}{6\left(a-1\right)} ni \frac{a-5}{a-5} marotabaga ko'paytirish.

$$\frac{6a\times 6\left(a-1\right)}{6\left(a-5\right)\left(a-1\right)}-\frac{3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)}$$

\frac{6a\times 6\left(a-1\right)}{6\left(a-5\right)\left(a-1\right)} va \frac{3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{6a\times 6\left(a-1\right)-3\left(a-5\right)}{6\left(a-5\right)\left(a-1\right)}$$

6a\times 6\left(a-1\right)-3\left(a-5\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{36a^{2}-36a-3a+15}{6\left(a-5\right)\left(a-1\right)}$$

36a^{2}-36a-3a+15 kabi iboralarga o‘xshab birlashtiring.

$$\frac{36a^{2}-39a+15}{6\left(a-5\right)\left(a-1\right)}$$

\frac{36a^{2}-39a+15}{6\left(a-5\right)\left(a-1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{3\left(12a^{2}-13a+5\right)}{6\left(a-5\right)\left(a-1\right)}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$

2\left(a-5\right)\left(a-1\right) ni kengaytirish.

$$\frac{12a^{2}-13a+5}{2a^{2}-12a+10}$$

Omil

$$\frac{12a^{2}-13a+5}{2\left(a-5\right)\left(a-1\right)}$$