6/x+8-3x/x^2+11x+24 eching

$$\frac { 6 } { x + 8 } - \frac { 3 x } { x ^ { 2 } + 11 x + 24 }$$

Baholash

$$\frac{3\left(x+6\right)}{\left(x+3\right)\left(x+8\right)}$$

Qisqa yechim qadamlari

Faktor: x^{2}+11x+24.

$$\frac{6}{x+8}-\frac{3x}{\left(x+3\right)\left(x+8\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x+8 va \left(x+3\right)\left(x+8\right) ning eng kichik umumiy karralisi \left(x+3\right)\left(x+8\right). \frac{6}{x+8} ni \frac{x+3}{x+3} marotabaga ko'paytirish.

$$\frac{6\left(x+3\right)}{\left(x+3\right)\left(x+8\right)}-\frac{3x}{\left(x+3\right)\left(x+8\right)}$$

\frac{6\left(x+3\right)}{\left(x+3\right)\left(x+8\right)} va \frac{3x}{\left(x+3\right)\left(x+8\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{6\left(x+3\right)-3x}{\left(x+3\right)\left(x+8\right)}$$

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

$$\frac{6x+18-3x}{\left(x+3\right)\left(x+8\right)}$$

6x+18-3x kabi iboralarga o‘xshab birlashtiring.

$$\frac{3x+18}{\left(x+3\right)\left(x+8\right)}$$

\left(x+3\right)\left(x+8\right) ni kengaytirish.

$$\frac{3x+18}{x^{2}+11x+24}$$

Omil

$$\frac{3\left(x+6\right)}{\left(x+3\right)\left(x+8\right)}$$