(1/x+3+6/x^2-9)+1/x^2-6x+914 eching

$$( \frac { 1 } { x + 3 } + \frac { 6 } { x ^ { 2 } - 9 } ) + \frac { 1 } { x ^ { 2 } - 6 x + 9 } 14$$

Baholash

$$\frac{x+11}{\left(x-3\right)^{2}}$$

Qisqa yechim qadamlari

\frac{1}{x^{2}-6x+9}\times 14 ni yagona kasrga aylantiring.

$$\frac{1}{x+3}+\frac{6}{x^{2}-9}+\frac{14}{x^{2}-6x+9}$$

Faktor: x^{2}-9.

$$\frac{1}{x+3}+\frac{6}{\left(x-3\right)\left(x+3\right)}+\frac{14}{x^{2}-6x+9}$$

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

$$\frac{x-3}{\left(x-3\right)\left(x+3\right)}+\frac{6}{\left(x-3\right)\left(x+3\right)}+\frac{14}{x^{2}-6x+9}$$

\frac{x-3}{\left(x-3\right)\left(x+3\right)} va \frac{6}{\left(x-3\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x-3+6}{\left(x-3\right)\left(x+3\right)}+\frac{14}{x^{2}-6x+9}$$

x-3+6 kabi iboralarga o‘xshab birlashtiring.

$$\frac{x+3}{\left(x-3\right)\left(x+3\right)}+\frac{14}{x^{2}-6x+9}$$

Surat va maxrajdagi ikkala x+3 ni qisqartiring.

$$\frac{1}{x-3}+\frac{14}{x^{2}-6x+9}$$

Faktor: x^{2}-6x+9.

$$\frac{1}{x-3}+\frac{14}{\left(x-3\right)^{2}}$$

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

$$\frac{x-3}{\left(x-3\right)^{2}}+\frac{14}{\left(x-3\right)^{2}}$$

\frac{x-3}{\left(x-3\right)^{2}} va \frac{14}{\left(x-3\right)^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x-3+14}{\left(x-3\right)^{2}}$$

x-3+14 kabi iboralarga o‘xshab birlashtiring.

$$\frac{x+11}{\left(x-3\right)^{2}}$$

\left(x-3\right)^{2} ni kengaytirish.

$$\frac{x+11}{x^{2}-6x+9}$$

x ga nisbatan hosilani topish

$$\frac{-x-25}{\left(x-3\right)^{3}}$$