3x^2+4-5/x^2+5x+4-2x/x+1+4/x+4 eching

$$\frac { 3 x ^ { 2 } + 4 - 5 } { x ^ { 2 } + 5 x + 4 } - \frac { 2 x } { x + 1 } + \frac { 4 } { x + 4 }$$

Baholash

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

Qisqa yechim qadamlari

-1 olish uchun 4 dan 5 ni ayirish.

$$\frac{3x^{2}-1}{x^{2}+5x+4}-\frac{2x}{x+1}+\frac{4}{x+4}$$

Faktor: x^{2}+5x+4.

$$\frac{3x^{2}-1}{\left(x+1\right)\left(x+4\right)}-\frac{2x}{x+1}+\frac{4}{x+4}$$

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

$$\frac{3x^{2}-1}{\left(x+1\right)\left(x+4\right)}-\frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

\frac{3x^{2}-1}{\left(x+1\right)\left(x+4\right)} va \frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3x^{2}-1-2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

3x^{2}-1-2x\left(x+4\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x^{2}-1-2x^{2}-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

3x^{2}-1-2x^{2}-8x kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+1\right)\left(x+4\right) va x+4 ning eng kichik umumiy karralisi \left(x+1\right)\left(x+4\right). \frac{4}{x+4} ni \frac{x+1}{x+1} marotabaga ko'paytirish.

$$\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}$$

\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)} va \frac{4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{2}-1-8x+4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}$$

x^{2}-1-8x+4\left(x+1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}-1-8x+4x+4}{\left(x+1\right)\left(x+4\right)}$$

x^{2}-1-8x+4x+4 kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}+3-4x}{\left(x+1\right)\left(x+4\right)}$$

\left(x+1\right)\left(x+4\right) ni kengaytirish.

$$\frac{x^{2}+3-4x}{x^{2}+5x+4}$$

Kengaytirish

$$\frac{x^{2}-4x+3}{\left(x+1\right)\left(x+4\right)}$$

Qisqa yechim qadamlari

-1 olish uchun 4 dan 5 ni ayirish.

$$\frac{3x^{2}-1}{x^{2}+5x+4}-\frac{2x}{x+1}+\frac{4}{x+4}$$

Faktor: x^{2}+5x+4.

$$\frac{3x^{2}-1}{\left(x+1\right)\left(x+4\right)}-\frac{2x}{x+1}+\frac{4}{x+4}$$

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

$$\frac{3x^{2}-1}{\left(x+1\right)\left(x+4\right)}-\frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

\frac{3x^{2}-1}{\left(x+1\right)\left(x+4\right)} va \frac{2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3x^{2}-1-2x\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

3x^{2}-1-2x\left(x+4\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x^{2}-1-2x^{2}-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

3x^{2}-1-2x^{2}-8x kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4}{x+4}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x+1\right)\left(x+4\right) va x+4 ning eng kichik umumiy karralisi \left(x+1\right)\left(x+4\right). \frac{4}{x+4} ni \frac{x+1}{x+1} marotabaga ko'paytirish.

$$\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)}+\frac{4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}$$

\frac{x^{2}-1-8x}{\left(x+1\right)\left(x+4\right)} va \frac{4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{2}-1-8x+4\left(x+1\right)}{\left(x+1\right)\left(x+4\right)}$$

x^{2}-1-8x+4\left(x+1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}-1-8x+4x+4}{\left(x+1\right)\left(x+4\right)}$$

x^{2}-1-8x+4x+4 kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}+3-4x}{\left(x+1\right)\left(x+4\right)}$$

\left(x+1\right)\left(x+4\right) ni kengaytirish.

$$\frac{x^{2}+3-4x}{x^{2}+5x+4}$$