5/x+7/frac{25{x^2}-49} eching

$$\frac { \frac { 5 } { x } + 7 } { \frac { 25 } { x ^ { 2 } } - 49 }$$

Baholash

$$-\frac{x}{7x-5}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 7 ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{\frac{5}{x}+\frac{7x}{x}}{\frac{25}{x^{2}}-49}$$

\frac{5}{x} va \frac{7x}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{5+7x}{x}}{\frac{25}{x^{2}}-49}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 49 ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.

$$\frac{\frac{5+7x}{x}}{\frac{25}{x^{2}}-\frac{49x^{2}}{x^{2}}}$$

\frac{25}{x^{2}} va \frac{49x^{2}}{x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{5+7x}{x}}{\frac{25-49x^{2}}{x^{2}}}$$

\frac{5+7x}{x} ni \frac{25-49x^{2}}{x^{2}} ga bo'lish \frac{5+7x}{x} ga k'paytirish \frac{25-49x^{2}}{x^{2}} ga qaytarish.

$$\frac{\left(5+7x\right)x^{2}}{x\left(25-49x^{2}\right)}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{x\left(7x+5\right)}{-49x^{2}+25}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{x\left(7x+5\right)}{\left(-7x-5\right)\left(7x-5\right)}$$

5+7x mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-x\left(-7x-5\right)}{\left(-7x-5\right)\left(7x-5\right)}$$

Surat va maxrajdagi ikkala -7x-5 ni qisqartiring.

$$\frac{-x}{7x-5}$$

Kengaytirish

$$-\frac{x}{7x-5}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 7 ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{\frac{5}{x}+\frac{7x}{x}}{\frac{25}{x^{2}}-49}$$

\frac{5}{x} va \frac{7x}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{5+7x}{x}}{\frac{25}{x^{2}}-49}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 49 ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.

$$\frac{\frac{5+7x}{x}}{\frac{25}{x^{2}}-\frac{49x^{2}}{x^{2}}}$$

\frac{25}{x^{2}} va \frac{49x^{2}}{x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{5+7x}{x}}{\frac{25-49x^{2}}{x^{2}}}$$

\frac{5+7x}{x} ni \frac{25-49x^{2}}{x^{2}} ga bo'lish \frac{5+7x}{x} ga k'paytirish \frac{25-49x^{2}}{x^{2}} ga qaytarish.

$$\frac{\left(5+7x\right)x^{2}}{x\left(25-49x^{2}\right)}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{x\left(7x+5\right)}{-49x^{2}+25}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{x\left(7x+5\right)}{\left(-7x-5\right)\left(7x-5\right)}$$

5+7x mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-x\left(-7x-5\right)}{\left(-7x-5\right)\left(7x-5\right)}$$

Surat va maxrajdagi ikkala -7x-5 ni qisqartiring.

$$\frac{-x}{7x-5}$$