x+1+3x/x^2-x-6 eching

$$x + 1 + \frac { 3 x } { x ^ { 2 } - x - 6 }$$

Baholash

$$\frac{x^{3}-4x-6}{\left(x-3\right)\left(x+2\right)}$$

Qisqa yechim qadamlari

Faktor: x^{2}-x-6.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+1 ni \frac{\left(x-3\right)\left(x+2\right)}{\left(x-3\right)\left(x+2\right)} marotabaga ko'paytirish.

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

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

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

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

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

x^{3}-x^{2}-6x+x^{2}-x-6+3x kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{3}-4x-6}{\left(x-3\right)\left(x+2\right)}$$

\left(x-3\right)\left(x+2\right) ni kengaytirish.

$$\frac{x^{3}-4x-6}{x^{2}-x-6}$$

x ga nisbatan hosilani topish

$$\frac{x^{4}-2x^{3}-14x^{2}+12x+18}{\left(\left(x-3\right)\left(x+2\right)\right)^{2}}$$