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

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

Baholash

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

Qisqa yechim qadamlari

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

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

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

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

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

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

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

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

Faktor: x^{2}-9.

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

\frac{3x^{2}-3x}{\left(x-3\right)\left(x+3\right)} va \frac{3x^{2}+3}{\left(x-3\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

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

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

3x^{2}-3x-3x^{2}-3 kabi iboralarga o‘xshab birlashtiring.

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

\left(x-3\right)\left(x+3\right) ni kengaytirish.

$$\frac{-3x-3}{x^{2}-9}$$

Kengaytirish

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

Qisqa yechim qadamlari

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

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

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

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

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

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

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

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

Faktor: x^{2}-9.

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

\frac{3x^{2}-3x}{\left(x-3\right)\left(x+3\right)} va \frac{3x^{2}+3}{\left(x-3\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

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

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

3x^{2}-3x-3x^{2}-3 kabi iboralarga o‘xshab birlashtiring.

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

\left(x-3\right)\left(x+3\right) ni kengaytirish.

$$\frac{-3x-3}{x^{2}-9}$$