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

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

Baholash

$$-1+\frac{7}{3a}-\frac{1}{a^{2}}$$

Qisqa yechim qadamlari

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

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

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

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

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

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

a-3+6a-3a^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{7a-3-3a^{2}}{3a^{2}}$$

\frac{7a-3-3a^{2}}{3a^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{-3\left(a-\left(-\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)\left(a-\left(\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)}{3a^{2}}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{-\left(a-\left(-\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)\left(a-\left(\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)}{a^{2}}$$

-\frac{1}{6}\sqrt{13}+\frac{7}{6} teskarisini topish uchun har birining teskarisini toping.

$$\frac{-\left(a+\frac{1}{6}\sqrt{13}-\frac{7}{6}\right)\left(a-\left(\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)}{a^{2}}$$

\frac{1}{6}\sqrt{13}+\frac{7}{6} teskarisini topish uchun har birining teskarisini toping.

$$\frac{-\left(a+\frac{1}{6}\sqrt{13}-\frac{7}{6}\right)\left(a-\frac{1}{6}\sqrt{13}-\frac{7}{6}\right)}{a^{2}}$$

-1 ga a+\frac{1}{6}\sqrt{13}-\frac{7}{6} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(-a-\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\left(a-\frac{1}{6}\sqrt{13}-\frac{7}{6}\right)}{a^{2}}$$

-a-\frac{1}{6}\sqrt{13}+\frac{7}{6} ga a-\frac{1}{6}\sqrt{13}-\frac{7}{6} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{-a^{2}+\frac{7}{3}a+\frac{1}{36}\left(\sqrt{13}\right)^{2}-\frac{49}{36}}{a^{2}}$$

\sqrt{13} kvadrati – 13.

$$\frac{-a^{2}+\frac{7}{3}a+\frac{1}{36}\times 13-\frac{49}{36}}{a^{2}}$$

\frac{13}{36} hosil qilish uchun \frac{1}{36} va 13 ni ko'paytirish.

$$\frac{-a^{2}+\frac{7}{3}a+\frac{13}{36}-\frac{49}{36}}{a^{2}}$$

-1 olish uchun \frac{13}{36} dan \frac{49}{36} ni ayirish.

$$\frac{-a^{2}+\frac{7}{3}a-1}{a^{2}}$$

Kengaytirish

$$-1+\frac{7}{3a}-\frac{1}{a^{2}}$$

Qisqa yechim qadamlari

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

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

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

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

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

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

a-3+6a-3a^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{7a-3-3a^{2}}{3a^{2}}$$

\frac{7a-3-3a^{2}}{3a^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{-3\left(a-\left(-\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)\left(a-\left(\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)}{3a^{2}}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{-\left(a-\left(-\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)\left(a-\left(\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)}{a^{2}}$$

-\frac{1}{6}\sqrt{13}+\frac{7}{6} teskarisini topish uchun har birining teskarisini toping.

$$\frac{-\left(a+\frac{1}{6}\sqrt{13}-\frac{7}{6}\right)\left(a-\left(\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\right)}{a^{2}}$$

\frac{1}{6}\sqrt{13}+\frac{7}{6} teskarisini topish uchun har birining teskarisini toping.

$$\frac{-\left(a+\frac{1}{6}\sqrt{13}-\frac{7}{6}\right)\left(a-\frac{1}{6}\sqrt{13}-\frac{7}{6}\right)}{a^{2}}$$

-1 ga a+\frac{1}{6}\sqrt{13}-\frac{7}{6} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(-a-\frac{1}{6}\sqrt{13}+\frac{7}{6}\right)\left(a-\frac{1}{6}\sqrt{13}-\frac{7}{6}\right)}{a^{2}}$$

-a-\frac{1}{6}\sqrt{13}+\frac{7}{6} ga a-\frac{1}{6}\sqrt{13}-\frac{7}{6} ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{-a^{2}+\frac{7}{3}a+\frac{1}{36}\left(\sqrt{13}\right)^{2}-\frac{49}{36}}{a^{2}}$$

\sqrt{13} kvadrati – 13.

$$\frac{-a^{2}+\frac{7}{3}a+\frac{1}{36}\times 13-\frac{49}{36}}{a^{2}}$$

\frac{13}{36} hosil qilish uchun \frac{1}{36} va 13 ni ko'paytirish.

$$\frac{-a^{2}+\frac{7}{3}a+\frac{13}{36}-\frac{49}{36}}{a^{2}}$$

-1 olish uchun \frac{13}{36} dan \frac{49}{36} ni ayirish.

$$\frac{-a^{2}+\frac{7}{3}a-1}{a^{2}}$$