7/9x^2+x/3x^2+3x eching

$$\frac { 7 } { 9 x ^ { 2 } } + \frac { x } { 3 x ^ { 2 } + 3 x }$$

Baholash

$$\frac{3x^{2}+7x+7}{9\left(x+1\right)x^{2}}$$

Qisqa yechim qadamlari

\frac{x}{3x^{2}+3x} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{7}{9x^{2}}+\frac{x}{3x\left(x+1\right)}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{7}{9x^{2}}+\frac{1}{3\left(x+1\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9x^{2} va 3\left(x+1\right) ning eng kichik umumiy karralisi 9\left(x+1\right)x^{2}. \frac{7}{9x^{2}} ni \frac{x+1}{x+1} marotabaga ko'paytirish. \frac{1}{3\left(x+1\right)} ni \frac{3x^{2}}{3x^{2}} marotabaga ko'paytirish.

$$\frac{7\left(x+1\right)}{9\left(x+1\right)x^{2}}+\frac{3x^{2}}{9\left(x+1\right)x^{2}}$$

\frac{7\left(x+1\right)}{9\left(x+1\right)x^{2}} va \frac{3x^{2}}{9\left(x+1\right)x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7\left(x+1\right)+3x^{2}}{9\left(x+1\right)x^{2}}$$

7\left(x+1\right)+3x^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{7x+7+3x^{2}}{9\left(x+1\right)x^{2}}$$

9\left(x+1\right)x^{2} ni kengaytirish.

$$\frac{7x+7+3x^{2}}{9x^{3}+9x^{2}}$$

Omil

$$\frac{3x^{2}+7x+7}{9\left(x+1\right)x^{2}}$$