6x-3x/x^2-left(3xright)^2-x-3x/x+3x eching

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

Baholash

$$\frac{1}{2}-\frac{3}{8x}$$

Qisqa yechim qadamlari

3x ni olish uchun 6x va -3x ni birlashtirish.

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

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

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

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

-8x^{2} ni olish uchun x^{2} va -9x^{2} ni birlashtirish.

$$\frac{3x}{-8x^{2}}-\frac{x-3x}{x+3x}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{3}{-8x}-\frac{x-3x}{x+3x}$$

-2x ni olish uchun x va -3x ni birlashtirish.

$$\frac{3}{-8x}-\frac{-2x}{x+3x}$$

4x ni olish uchun x va 3x ni birlashtirish.

$$\frac{3}{-8x}-\frac{-2x}{4x}$$

Surat va maxrajdagi ikkala 2x ni qisqartiring.

$$\frac{3}{-8x}-\frac{-1}{2}$$

\frac{-1}{2} kasri manfiy belgini olib tashlash bilan -\frac{1}{2} sifatida qayta yozilishi mumkin.

$$\frac{3}{-8x}-\left(-\frac{1}{2}\right)$$

-\frac{1}{2} ning teskarisi \frac{1}{2} ga teng.

$$\frac{3}{-8x}+\frac{1}{2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -8x va 2 ning eng kichik umumiy karralisi 8x. \frac{3}{-8x} ni \frac{-1}{-1} marotabaga ko'paytirish. \frac{1}{2} ni \frac{4x}{4x} marotabaga ko'paytirish.

$$\frac{3\left(-1\right)}{8x}+\frac{4x}{8x}$$

\frac{3\left(-1\right)}{8x} va \frac{4x}{8x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\left(-1\right)+4x}{8x}$$

3\left(-1\right)+4x ichidagi ko‘paytirishlarni bajaring.

$$\frac{-3+4x}{8x}$$

Kengaytirish

$$\frac{1}{2}-\frac{3}{8x}$$

Qisqa yechim qadamlari

3x ni olish uchun 6x va -3x ni birlashtirish.

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

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

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

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

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

-8x^{2} ni olish uchun x^{2} va -9x^{2} ni birlashtirish.

$$\frac{3x}{-8x^{2}}-\frac{x-3x}{x+3x}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{3}{-8x}-\frac{x-3x}{x+3x}$$

-2x ni olish uchun x va -3x ni birlashtirish.

$$\frac{3}{-8x}-\frac{-2x}{x+3x}$$

4x ni olish uchun x va 3x ni birlashtirish.

$$\frac{3}{-8x}-\frac{-2x}{4x}$$

Surat va maxrajdagi ikkala 2x ni qisqartiring.

$$\frac{3}{-8x}-\frac{-1}{2}$$

\frac{-1}{2} kasri manfiy belgini olib tashlash bilan -\frac{1}{2} sifatida qayta yozilishi mumkin.

$$\frac{3}{-8x}-\left(-\frac{1}{2}\right)$$

-\frac{1}{2} ning teskarisi \frac{1}{2} ga teng.

$$\frac{3}{-8x}+\frac{1}{2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. -8x va 2 ning eng kichik umumiy karralisi 8x. \frac{3}{-8x} ni \frac{-1}{-1} marotabaga ko'paytirish. \frac{1}{2} ni \frac{4x}{4x} marotabaga ko'paytirish.

$$\frac{3\left(-1\right)}{8x}+\frac{4x}{8x}$$

\frac{3\left(-1\right)}{8x} va \frac{4x}{8x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\left(-1\right)+4x}{8x}$$

3\left(-1\right)+4x ichidagi ko‘paytirishlarni bajaring.

$$\frac{-3+4x}{8x}$$