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

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

Baholash

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

Qisqa yechim qadamlari

Faktor: x^{2}-3x.

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

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

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

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

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

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

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

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

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

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

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

Kengaytirish

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

Qisqa yechim qadamlari

Faktor: x^{2}-3x.

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

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

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

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

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

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

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

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

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

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

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