10/x^2+6+9+2/x+3 eching

$$\frac { 10 } { x ^ { 2 } + 6 + 9 } + \frac { 2 } { x + 3 }$$

Baholash

$$\frac{2\left(x^{2}+5x+30\right)}{\left(x+3\right)\left(x^{2}+15\right)}$$

Qisqa yechim qadamlari

15 olish uchun 6 va 9'ni qo'shing.

$$\frac{10}{x^{2}+15}+\frac{2}{x+3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2}+15 va x+3 ning eng kichik umumiy karralisi \left(x+3\right)\left(x^{2}+15\right). \frac{10}{x^{2}+15} ni \frac{x+3}{x+3} marotabaga ko'paytirish. \frac{2}{x+3} ni \frac{x^{2}+15}{x^{2}+15} marotabaga ko'paytirish.

$$\frac{10\left(x+3\right)}{\left(x+3\right)\left(x^{2}+15\right)}+\frac{2\left(x^{2}+15\right)}{\left(x+3\right)\left(x^{2}+15\right)}$$

\frac{10\left(x+3\right)}{\left(x+3\right)\left(x^{2}+15\right)} va \frac{2\left(x^{2}+15\right)}{\left(x+3\right)\left(x^{2}+15\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{10\left(x+3\right)+2\left(x^{2}+15\right)}{\left(x+3\right)\left(x^{2}+15\right)}$$

10\left(x+3\right)+2\left(x^{2}+15\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{10x+30+2x^{2}+30}{\left(x+3\right)\left(x^{2}+15\right)}$$

10x+30+2x^{2}+30 kabi iboralarga o‘xshab birlashtiring.

$$\frac{10x+60+2x^{2}}{\left(x+3\right)\left(x^{2}+15\right)}$$

\left(x+3\right)\left(x^{2}+15\right) ni kengaytirish.

$$\frac{10x+60+2x^{2}}{x^{3}+3x^{2}+15x+45}$$

Omil

$$\frac{2\left(x^{2}+5x+30\right)}{\left(x+3\right)\left(x^{2}+15\right)}$$