1/2-6/a^2-6a+a-4/2(a-6) eching

$$\frac { 1 } { 2 } - \frac { 6 } { a ^ { 2 } - 6 a } + \frac { a - 4 } { 2 ( a - 6 ) }$$

Baholash

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

Qisqa yechim qadamlari

Faktor: a^{2}-6a.

$$\frac{1}{2}-\frac{6}{a\left(a-6\right)}+\frac{a-4}{2\left(a-6\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va a\left(a-6\right) ning eng kichik umumiy karralisi 2a\left(a-6\right). \frac{1}{2} ni \frac{a\left(a-6\right)}{a\left(a-6\right)} marotabaga ko'paytirish. \frac{6}{a\left(a-6\right)} ni \frac{2}{2} marotabaga ko'paytirish.

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

\frac{a\left(a-6\right)}{2a\left(a-6\right)} va \frac{6\times 2}{2a\left(a-6\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

a\left(a-6\right)-6\times 2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{a^{2}-6a-12}{2a\left(a-6\right)}+\frac{a-4}{2\left(a-6\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2a\left(a-6\right) va 2\left(a-6\right) ning eng kichik umumiy karralisi 2a\left(a-6\right). \frac{a-4}{2\left(a-6\right)} ni \frac{a}{a} marotabaga ko'paytirish.

$$\frac{a^{2}-6a-12}{2a\left(a-6\right)}+\frac{\left(a-4\right)a}{2a\left(a-6\right)}$$

\frac{a^{2}-6a-12}{2a\left(a-6\right)} va \frac{\left(a-4\right)a}{2a\left(a-6\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{a^{2}-6a-12+\left(a-4\right)a}{2a\left(a-6\right)}$$

a^{2}-6a-12+\left(a-4\right)a ichidagi ko‘paytirishlarni bajaring.

$$\frac{a^{2}-6a-12+a^{2}-4a}{2a\left(a-6\right)}$$

a^{2}-6a-12+a^{2}-4a kabi iboralarga o‘xshab birlashtiring.

$$\frac{2a^{2}-10a-12}{2a\left(a-6\right)}$$

\frac{2a^{2}-10a-12}{2a\left(a-6\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2\left(a-6\right)\left(a+1\right)}{2a\left(a-6\right)}$$

Surat va maxrajdagi ikkala 2\left(a-6\right) ni qisqartiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

Faktor: a^{2}-6a.

$$\frac{1}{2}-\frac{6}{a\left(a-6\right)}+\frac{a-4}{2\left(a-6\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va a\left(a-6\right) ning eng kichik umumiy karralisi 2a\left(a-6\right). \frac{1}{2} ni \frac{a\left(a-6\right)}{a\left(a-6\right)} marotabaga ko'paytirish. \frac{6}{a\left(a-6\right)} ni \frac{2}{2} marotabaga ko'paytirish.

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

\frac{a\left(a-6\right)}{2a\left(a-6\right)} va \frac{6\times 2}{2a\left(a-6\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

a\left(a-6\right)-6\times 2 ichidagi ko‘paytirishlarni bajaring.

$$\frac{a^{2}-6a-12}{2a\left(a-6\right)}+\frac{a-4}{2\left(a-6\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2a\left(a-6\right) va 2\left(a-6\right) ning eng kichik umumiy karralisi 2a\left(a-6\right). \frac{a-4}{2\left(a-6\right)} ni \frac{a}{a} marotabaga ko'paytirish.

$$\frac{a^{2}-6a-12}{2a\left(a-6\right)}+\frac{\left(a-4\right)a}{2a\left(a-6\right)}$$

\frac{a^{2}-6a-12}{2a\left(a-6\right)} va \frac{\left(a-4\right)a}{2a\left(a-6\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{a^{2}-6a-12+\left(a-4\right)a}{2a\left(a-6\right)}$$

a^{2}-6a-12+\left(a-4\right)a ichidagi ko‘paytirishlarni bajaring.

$$\frac{a^{2}-6a-12+a^{2}-4a}{2a\left(a-6\right)}$$

a^{2}-6a-12+a^{2}-4a kabi iboralarga o‘xshab birlashtiring.

$$\frac{2a^{2}-10a-12}{2a\left(a-6\right)}$$

\frac{2a^{2}-10a-12}{2a\left(a-6\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2\left(a-6\right)\left(a+1\right)}{2a\left(a-6\right)}$$

Surat va maxrajdagi ikkala 2\left(a-6\right) ni qisqartiring.

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