6x-3x/left(7xright)^2-left(3xright)^2-3x-7x/3x+7x eching

$$\frac{ 6x-3x }{ { \left(7x \right) }^{ 2 } - { \left(3x \right) }^{ 2 } } - \frac{ 3x-7x }{ 3x+7x }$$

Baholash

$$\frac{2}{5}+\frac{3}{40x}$$

Qisqa yechim qadamlari

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

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

\left(7x\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 7 ga hisoblang va 49 ni qiymatni oling.

$$\frac{3x}{49x^{2}-\left(3x\right)^{2}}-\frac{3x-7x}{3x+7x}$$

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

$$\frac{3x}{49x^{2}-3^{2}x^{2}}-\frac{3x-7x}{3x+7x}$$

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

$$\frac{3x}{49x^{2}-9x^{2}}-\frac{3x-7x}{3x+7x}$$

40x^{2} ni olish uchun 49x^{2} va -9x^{2} ni birlashtirish.

$$\frac{3x}{40x^{2}}-\frac{3x-7x}{3x+7x}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{3}{40x}-\frac{3x-7x}{3x+7x}$$

-4x ni olish uchun 3x va -7x ni birlashtirish.

$$\frac{3}{40x}-\frac{-4x}{3x+7x}$$

10x ni olish uchun 3x va 7x ni birlashtirish.

$$\frac{3}{40x}-\frac{-4x}{10x}$$

Surat va maxrajdagi ikkala 2x ni qisqartiring.

$$\frac{3}{40x}-\frac{-2}{5}$$

\frac{-2}{5} kasri manfiy belgini olib tashlash bilan -\frac{2}{5} sifatida qayta yozilishi mumkin.

$$\frac{3}{40x}-\left(-\frac{2}{5}\right)$$

-\frac{2}{5} ning teskarisi \frac{2}{5} ga teng.

$$\frac{3}{40x}+\frac{2}{5}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 40x va 5 ning eng kichik umumiy karralisi 40x. \frac{2}{5} ni \frac{8x}{8x} marotabaga ko'paytirish.

$$\frac{3}{40x}+\frac{2\times 8x}{40x}$$

\frac{3}{40x} va \frac{2\times 8x}{40x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+2\times 8x}{40x}$$

3+2\times 8x ichidagi ko‘paytirishlarni bajaring.

$$\frac{3+16x}{40x}$$

Kengaytirish

$$\frac{2}{5}+\frac{3}{40x}$$

Qisqa yechim qadamlari

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

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

\left(7x\right)^{2} ni kengaytirish.

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

2 daraja ko‘rsatkichini 7 ga hisoblang va 49 ni qiymatni oling.

$$\frac{3x}{49x^{2}-\left(3x\right)^{2}}-\frac{3x-7x}{3x+7x}$$

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

$$\frac{3x}{49x^{2}-3^{2}x^{2}}-\frac{3x-7x}{3x+7x}$$

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

$$\frac{3x}{49x^{2}-9x^{2}}-\frac{3x-7x}{3x+7x}$$

40x^{2} ni olish uchun 49x^{2} va -9x^{2} ni birlashtirish.

$$\frac{3x}{40x^{2}}-\frac{3x-7x}{3x+7x}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{3}{40x}-\frac{3x-7x}{3x+7x}$$

-4x ni olish uchun 3x va -7x ni birlashtirish.

$$\frac{3}{40x}-\frac{-4x}{3x+7x}$$

10x ni olish uchun 3x va 7x ni birlashtirish.

$$\frac{3}{40x}-\frac{-4x}{10x}$$

Surat va maxrajdagi ikkala 2x ni qisqartiring.

$$\frac{3}{40x}-\frac{-2}{5}$$

\frac{-2}{5} kasri manfiy belgini olib tashlash bilan -\frac{2}{5} sifatida qayta yozilishi mumkin.

$$\frac{3}{40x}-\left(-\frac{2}{5}\right)$$

-\frac{2}{5} ning teskarisi \frac{2}{5} ga teng.

$$\frac{3}{40x}+\frac{2}{5}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 40x va 5 ning eng kichik umumiy karralisi 40x. \frac{2}{5} ni \frac{8x}{8x} marotabaga ko'paytirish.

$$\frac{3}{40x}+\frac{2\times 8x}{40x}$$

\frac{3}{40x} va \frac{2\times 8x}{40x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+2\times 8x}{40x}$$

3+2\times 8x ichidagi ko‘paytirishlarni bajaring.

$$\frac{3+16x}{40x}$$