x+4/x+3-x-3/x+4/frac{14{x^2+7x+12}} eching

$$\frac{ \frac{ x+4 }{ x+3 } - \frac{ x-3 }{ x+4 } }{ \frac{ 14 }{ { x }^{ 2 } +7x+12 } }$$

Baholash

$$\frac{4x}{7}+\frac{25}{14}$$

Qisqa yechim qadamlari

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

$$\frac{\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)}-\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}$$

\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)} va \frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}$$

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

$$\frac{\frac{x^{2}+4x+4x+16-x^{2}-3x+3x+9}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}$$

x^{2}+4x+4x+16-x^{2}-3x+3x+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{8x+25}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}$$

\frac{8x+25}{\left(x+3\right)\left(x+4\right)} ni \frac{14}{x^{2}+7x+12} ga bo'lish \frac{8x+25}{\left(x+3\right)\left(x+4\right)} ga k'paytirish \frac{14}{x^{2}+7x+12} ga qaytarish.

$$\frac{\left(8x+25\right)\left(x^{2}+7x+12\right)}{\left(x+3\right)\left(x+4\right)\times 14}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x+3\right)\left(x+4\right)\left(8x+25\right)}{14\left(x+3\right)\left(x+4\right)}$$

Surat va maxrajdagi ikkala \left(x+3\right)\left(x+4\right) ni qisqartiring.

$$\frac{8x+25}{14}$$

Kengaytirish

$$\frac{4x}{7}+\frac{25}{14}$$

Qisqa yechim qadamlari

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

$$\frac{\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)}-\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}$$

\frac{\left(x+4\right)\left(x+4\right)}{\left(x+3\right)\left(x+4\right)} va \frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{\left(x+4\right)\left(x+4\right)-\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}$$

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

$$\frac{\frac{x^{2}+4x+4x+16-x^{2}-3x+3x+9}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}$$

x^{2}+4x+4x+16-x^{2}-3x+3x+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{8x+25}{\left(x+3\right)\left(x+4\right)}}{\frac{14}{x^{2}+7x+12}}$$

\frac{8x+25}{\left(x+3\right)\left(x+4\right)} ni \frac{14}{x^{2}+7x+12} ga bo'lish \frac{8x+25}{\left(x+3\right)\left(x+4\right)} ga k'paytirish \frac{14}{x^{2}+7x+12} ga qaytarish.

$$\frac{\left(8x+25\right)\left(x^{2}+7x+12\right)}{\left(x+3\right)\left(x+4\right)\times 14}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x+3\right)\left(x+4\right)\left(8x+25\right)}{14\left(x+3\right)\left(x+4\right)}$$

Surat va maxrajdagi ikkala \left(x+3\right)\left(x+4\right) ni qisqartiring.

$$\frac{8x+25}{14}$$