3/29+a-2/6a^2 eching

$$\frac { 3 } { 29 } + \frac { a - 2 } { 6 a ^ { 2 } }$$

Baholash

$$\frac{3}{29}+\frac{1}{6a}-\frac{1}{3a^{2}}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 29 va 6a^{2} ning eng kichik umumiy karralisi 174a^{2}. \frac{3}{29} ni \frac{6a^{2}}{6a^{2}} marotabaga ko'paytirish. \frac{a-2}{6a^{2}} ni \frac{29}{29} marotabaga ko'paytirish.

$$\frac{3\times 6a^{2}}{174a^{2}}+\frac{29\left(a-2\right)}{174a^{2}}$$

\frac{3\times 6a^{2}}{174a^{2}} va \frac{29\left(a-2\right)}{174a^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\times 6a^{2}+29\left(a-2\right)}{174a^{2}}$$

3\times 6a^{2}+29\left(a-2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{18a^{2}+29a-58}{174a^{2}}$$

\frac{18a^{2}+29a-58}{174a^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{18\left(a-\left(-\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)\left(a-\left(\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)}{174a^{2}}$$

Surat va maxrajdagi ikkala 6 ni qisqartiring.

$$\frac{3\left(a-\left(-\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)\left(a-\left(\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)}{29a^{2}}$$

-\frac{1}{36}\sqrt{5017}-\frac{29}{36} teskarisini topish uchun har birining teskarisini toping.

$$\frac{3\left(a+\frac{1}{36}\sqrt{5017}+\frac{29}{36}\right)\left(a-\left(\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)}{29a^{2}}$$

\frac{1}{36}\sqrt{5017}-\frac{29}{36} teskarisini topish uchun har birining teskarisini toping.

$$\frac{3\left(a+\frac{1}{36}\sqrt{5017}+\frac{29}{36}\right)\left(a-\frac{1}{36}\sqrt{5017}+\frac{29}{36}\right)}{29a^{2}}$$

3 ga a+\frac{1}{36}\sqrt{5017}+\frac{29}{36} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(3a+\frac{1}{12}\sqrt{5017}+\frac{29}{12}\right)\left(a-\frac{1}{36}\sqrt{5017}+\frac{29}{36}\right)}{29a^{2}}$$

3a+\frac{1}{12}\sqrt{5017}+\frac{29}{12} ga a-\frac{1}{36}\sqrt{5017}+\frac{29}{36} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{3a^{2}+\frac{29}{6}a-\frac{1}{432}\left(\sqrt{5017}\right)^{2}+\frac{841}{432}}{29a^{2}}$$

\sqrt{5017} kvadrati – 5017.

$$\frac{3a^{2}+\frac{29}{6}a-\frac{1}{432}\times 5017+\frac{841}{432}}{29a^{2}}$$

-\frac{5017}{432} hosil qilish uchun -\frac{1}{432} va 5017 ni ko'paytirish.

$$\frac{3a^{2}+\frac{29}{6}a-\frac{5017}{432}+\frac{841}{432}}{29a^{2}}$$

-\frac{29}{3} olish uchun -\frac{5017}{432} va \frac{841}{432}'ni qo'shing.

$$\frac{3a^{2}+\frac{29}{6}a-\frac{29}{3}}{29a^{2}}$$

Kengaytirish

$$\frac{3}{29}+\frac{1}{6a}-\frac{1}{3a^{2}}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 29 va 6a^{2} ning eng kichik umumiy karralisi 174a^{2}. \frac{3}{29} ni \frac{6a^{2}}{6a^{2}} marotabaga ko'paytirish. \frac{a-2}{6a^{2}} ni \frac{29}{29} marotabaga ko'paytirish.

$$\frac{3\times 6a^{2}}{174a^{2}}+\frac{29\left(a-2\right)}{174a^{2}}$$

\frac{3\times 6a^{2}}{174a^{2}} va \frac{29\left(a-2\right)}{174a^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\times 6a^{2}+29\left(a-2\right)}{174a^{2}}$$

3\times 6a^{2}+29\left(a-2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{18a^{2}+29a-58}{174a^{2}}$$

\frac{18a^{2}+29a-58}{174a^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{18\left(a-\left(-\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)\left(a-\left(\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)}{174a^{2}}$$

Surat va maxrajdagi ikkala 6 ni qisqartiring.

$$\frac{3\left(a-\left(-\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)\left(a-\left(\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)}{29a^{2}}$$

-\frac{1}{36}\sqrt{5017}-\frac{29}{36} teskarisini topish uchun har birining teskarisini toping.

$$\frac{3\left(a+\frac{1}{36}\sqrt{5017}+\frac{29}{36}\right)\left(a-\left(\frac{1}{36}\sqrt{5017}-\frac{29}{36}\right)\right)}{29a^{2}}$$

\frac{1}{36}\sqrt{5017}-\frac{29}{36} teskarisini topish uchun har birining teskarisini toping.

$$\frac{3\left(a+\frac{1}{36}\sqrt{5017}+\frac{29}{36}\right)\left(a-\frac{1}{36}\sqrt{5017}+\frac{29}{36}\right)}{29a^{2}}$$

3 ga a+\frac{1}{36}\sqrt{5017}+\frac{29}{36} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(3a+\frac{1}{12}\sqrt{5017}+\frac{29}{12}\right)\left(a-\frac{1}{36}\sqrt{5017}+\frac{29}{36}\right)}{29a^{2}}$$

3a+\frac{1}{12}\sqrt{5017}+\frac{29}{12} ga a-\frac{1}{36}\sqrt{5017}+\frac{29}{36} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{3a^{2}+\frac{29}{6}a-\frac{1}{432}\left(\sqrt{5017}\right)^{2}+\frac{841}{432}}{29a^{2}}$$

\sqrt{5017} kvadrati – 5017.

$$\frac{3a^{2}+\frac{29}{6}a-\frac{1}{432}\times 5017+\frac{841}{432}}{29a^{2}}$$

-\frac{5017}{432} hosil qilish uchun -\frac{1}{432} va 5017 ni ko'paytirish.

$$\frac{3a^{2}+\frac{29}{6}a-\frac{5017}{432}+\frac{841}{432}}{29a^{2}}$$

-\frac{29}{3} olish uchun -\frac{5017}{432} va \frac{841}{432}'ni qo'shing.

$$\frac{3a^{2}+\frac{29}{6}a-\frac{29}{3}}{29a^{2}}$$