x/x+3divx^2+x/x^2+bx+8+3x-3/x^2-1 eching

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

Baholash

$$\frac{x^{2}+bx+3x+17}{\left(x+1\right)\left(x+3\right)}$$

Qisqa yechim qadamlari

\frac{x}{x+3} ni \frac{x^{2}+x}{x^{2}+bx+8} ga bo'lish \frac{x}{x+3} ga k'paytirish \frac{x^{2}+x}{x^{2}+bx+8} ga qaytarish.

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

\frac{x\left(x^{2}+bx+8\right)}{\left(x+3\right)\left(x^{2}+x\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

\frac{3x-3}{x^{2}-1} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3}{x+1}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+1\right)\left(x+3\right) va x+1 ning eng kichik umumiy karralisi \left(x+1\right)\left(x+3\right). \frac{3}{x+1} ni \frac{x+3}{x+3} marotabaga ko'paytirish.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$$

\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)} va \frac{3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{2}+bx+8+3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$$

x^{2}+bx+8+3\left(x+3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}+bx+8+3x+9}{\left(x+1\right)\left(x+3\right)}$$

x^{2}+bx+8+3x+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}+bx+17+3x}{\left(x+1\right)\left(x+3\right)}$$

\left(x+1\right)\left(x+3\right) ni kengaytirish.

$$\frac{x^{2}+bx+17+3x}{x^{2}+4x+3}$$

Kengaytirish

$$\frac{x^{2}+bx+3x+17}{\left(x+1\right)\left(x+3\right)}$$

Qisqa yechim qadamlari

\frac{x}{x+3} ni \frac{x^{2}+x}{x^{2}+bx+8} ga bo'lish \frac{x}{x+3} ga k'paytirish \frac{x^{2}+x}{x^{2}+bx+8} ga qaytarish.

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

\frac{x\left(x^{2}+bx+8\right)}{\left(x+3\right)\left(x^{2}+x\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

\frac{3x-3}{x^{2}-1} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3}{x+1}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+1\right)\left(x+3\right) va x+1 ning eng kichik umumiy karralisi \left(x+1\right)\left(x+3\right). \frac{3}{x+1} ni \frac{x+3}{x+3} marotabaga ko'paytirish.

$$\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)}+\frac{3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$$

\frac{x^{2}+bx+8}{\left(x+1\right)\left(x+3\right)} va \frac{3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{2}+bx+8+3\left(x+3\right)}{\left(x+1\right)\left(x+3\right)}$$

x^{2}+bx+8+3\left(x+3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}+bx+8+3x+9}{\left(x+1\right)\left(x+3\right)}$$

x^{2}+bx+8+3x+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}+bx+17+3x}{\left(x+1\right)\left(x+3\right)}$$

\left(x+1\right)\left(x+3\right) ni kengaytirish.

$$\frac{x^{2}+bx+17+3x}{x^{2}+4x+3}$$